lesson 3 homework 4.3 answer key pdf

Texas Go Math Grade 4 Lesson 4.3 Answer Key Compare and Order Fractions

Refer to our Texas Go Math Grade 4 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 4 Lesson 4.3 Answer Key Compare and Order Fractions.

Essential Question

How can you order fractions? Answer:

• Step 1: Find the least common denominators. Given a set of fractions with unlike denominators, find the least common denominator (LCD) shared by the fractions. …
• Step 2: Determine the equivalent fractions sharing the LCD. …
• Step 3: Arrange the numerators. …
• Step 4: Rewrite the fractions.

Unlock the Problem

• Underline what you need to find.
• Circle the fractions you will compare.

Jody has equal-size bins for the recycling center. She tilled \(\frac{3}{5}\) of a bin with plastics, \(\frac{1}{12}\) of a bin with paper, and \(\frac{9}{10}\) of a bin with glass. Which bin is the most full? Answer: \(\frac{9}{10}\) Explanation: Make common denominator for all \(\frac{3}{5}\) = \(\frac{36}{60}\) \(\frac{1}{12}\) = \(\frac{5}{60}\) \(\frac{9}{10}\) = \(\frac{54}{60}\)

Math Idea Sometimes it is not reasonable to find the exact location of a point on a number line. Benchmarks can help you find approximate locations.

The fraction the greatest distance from 0 has the greatest value. The fraction with the greatest value is ____________ . So, the bin with ____________ is the most full. Answer:

Mathematical Processes Explain how to write \(\frac{3}{5}\) and \(\frac{9}{10}\) as decimals in hundredths and compare their distances from 0. Answer: \(\frac{3}{5}\) = \(\frac{60}{100}\) \(\frac{9}{10}\) = \(\frac{90}{100}\)

Step 1 Compare each fraction to \(\frac{1}{2}\). List fractions that are less than \(\frac{1}{2}\): ________________ List fractions that are greater than \(\frac{1}{2}\): ________________ The fraction with the least value is ________________. Locate and label \(\frac{1}{3}\) on the number tine above. Answer:

Step 2 Compare \(\frac{7}{10}\) to \(\frac{7}{12}\) and \(\frac{8}{10}\).

Think: \(\frac{7}{10}\) and \(\frac{7}{12}\) have equal numerators. \(\frac{7}{10}\) ___________ \(\frac{7}{12}\) Answer:

Think: \(\frac{7}{10}\) and \(\frac{8}{10}\) have equal denominators. \(\frac{7}{10}\) ___________ \(\frac{8}{10}\) Answer:

Locate and label \(\frac{7}{10}\), \(\frac{7}{12}\), and \(\frac{8}{10}\) on the number line above. The fractions in order from least to greatest are ___________ . So, _____ < _____ < _____ < ______ . Answer:

Mathematical Processes Explain how benchmarks can help you order Answer:

Share and Show

Explanation: Make the common denominator for all \(\frac{3}{10}\)= \(\frac{36}{120}\) \(\frac{11}{12}\)= \(\frac{110}{120}\) \(\frac{5}{8}\) = \(\frac{75}{120}\)

Write the fractions in order from least to greatest.

Lesson 4.3 Problem Set Answer Key Go Math Grade 4 Question 2. \(\frac{1}{4}, \frac{5}{8}, \frac{1}{2}\) Answer: \(\frac{1}{4}, \frac{1}{2}, \frac{5}{8}\) Explanation: Make the common denominator for all \(\frac{1}{4}\) = \(\frac{2}{8}\) \(\frac{5}{8}\) = \(\frac{5}{8}\) \(\frac{1}{2}\) = \(\frac{4}{8}\)

Question 3. \(\frac{3}{5}, \frac{2}{3}, \frac{3}{10}, \frac{4}{5}\) Answer: \(\frac{3}{10},\frac{3}{5}, \frac{2}{3}, \frac{4}{5}\) Explanation: Make the common denominator for all \(\frac{3}{5}\) = \(\frac{18}{30}\) \(\frac{2}{3}\) = \(\frac{20}{30}\) \(\frac{3}{10}\) = \(\frac{9}30}\) \(\frac{4}{5}\) = \(\frac{24}{30}\)

Question 4. \(\frac{3}{4}, \frac{7}{12}, \frac{5}{12}\) Answer: \( \frac{5}{12},\frac{7}{12}, \frac{3}{4}\) Explanation: Make the common denominator for all \(\frac{3}{4}\) = \(\frac{9}{12}\) \(\frac{7}{12}\) = \(\frac{7}{12}\) \(\frac{5}{12}\) = \(\frac{5}{12}\)

H.O.T. Algebra Write a numerator that makes the statement true.

Question 5. \(\frac{1}{2}\) < \(\frac{}{10}\) < \(\frac{4}{5}\) Answer: \(\frac{1}{2}\) < \(\frac{6}{10}\) < \(\frac{4}{5}\) Explanation: Make the common denominator for all \(\frac{1}{2}\) = \(\frac{5}{10}\) \(\frac{5}{10}\) = \(\frac{}{10}\) \(\frac{4}{5}\) = \(\frac{8}{10}\)

Question 6. \(\frac{1}{4}\) < \(\frac{5}{12}\) < \(\frac{}{6}\) Answer: \(\frac{1}{4}\) < \(\frac{5}{12}\) < \(\frac{1}{6}\) Explanation: Make the common denominator for all \(\frac{1}{4}\) = \(\frac{3}{12}\) \(\frac{5}{12}\) = \(\frac{5}{12}\) \(\frac{}{6}\) = \(\frac{6}{12}\) = \(\frac{1}{6}\)

Go Math Lesson 4.3 4th Grade Homework Answer Key Question 7. \(\frac{}{8}\) < \(\frac{3}{4}\) < \(\frac{7}{8}\) Answer: \(\frac{5}{8}\) < \(\frac{3}{4}\) < \(\frac{7}{8}\) Explanation: Make the common denominator for all \(\frac{}{8}\) = \(\frac{5}{8}\) \(\frac{3}{4}\) = \(\frac{6}{8}\) \(\frac{7}{8}\) = \(\frac{7}{8}\)

Problem Solving

a. What do you need to find? Answer:

b. What information do you need to solve the problem? Answer:

c. What information is not necessary? Answer:

d. How will you solve the problem? Answer:

e. Show the steps to solve the problem. Answer:

f. Complete the sentences. The runner who finished first is _________ . The runner who finished second is _________ . The runner who finished third is __________ . Answer:

Question 9. Multi-Step Alma used 3 beads to make a necklace. The lengths of the beads are \(\frac{5}{6}\) inch, \(\frac{5}{12}\) inch, and \(\frac{1}{3}\) inch. What are the lengths in order from shortest to longest? Answer: \(\frac{1}{3}\) , \(\frac{5}{12}\), \(\frac{5}{6}\) Explanation: Make the common denominator for all \(\frac{5}{6}\) = \(\frac{10}{12}\) \(\frac{5}{12}\) = \(\frac{5}{12}\) \(\frac{1}{3}\) = \(\frac{4}{12}\)

Question 10. H.O.T. Apply Portia lias done \(\frac{3}{7}\) of her English homework, \(\frac{6}{7}\) of her math homework, and \(\frac{6}{11}\) of her geography homework. Which subject is most complete? Which subject does she have the most left to do? Answer: Math subject is most completed. English subject most left . Explanation: Make the common denominator for all \(\frac{3}{7}\) = \(\frac{33}{77}\) \(\frac{6}{7}\) = \(\frac{66}{77}\) \(\frac{6}{11}\) = \(\frac{42}{77}\)

Daily Assessment Task

Fill in the bubble completely to show your answer.

Question 13. Multi-Step The three puppies at the animal shelter weighed \(\frac{2}{3}\) pound, \(\frac{5}{6}\) pound, and \(\frac{7}{12}\) pound. Compare \(\frac{2}{3}\), \(\frac{5}{6}\), and \(\frac{7}{12}\). Which shows the fractions written in order from least to greatest? (A) \(\frac{2}{3}\) < \(\frac{7}{12}\) < \(\frac{5}{6}\) (B) \(\frac{2}{3}\) < \(\frac{5}{6}\) < \(\frac{7}{12}\) (C) \(\frac{7}{12}\) < \(\frac{5}{6}\) < \(\frac{2}{3}\) (D) \(\frac{7}{12}\) < \(\frac{2}{3}\) < \(\frac{5}{6}\) Answer: \(\frac{7}{12}\) < \(\frac{2}{3}\) < \(\frac{5}{6}\) Make the common denominator for all \(\frac{2}{3}\) = \(\frac{8}{12}\) \(\frac{5}{6}\) = \(\frac{10}{12}\) \(\frac{7}{12}\) = \(\frac{7}{12}\)

TEXAS Test Prep

Question 14. A recipe for Trail Mix includes \(\frac{3}{10}\) cup of sunflower seeds, \(\frac{1}{2}\) cup of raisins, and \(\frac{3}{8}\) cup of granola. Which list shows the amounts from least to greatest? (A) \(\frac{1}{2}\)cup, \(\frac{3}{8}\)cup, \(\frac{3}{10}\)cup (B) \(\frac{3}{8}\)cup, \(\frac{3}{10}\)cup, \(\frac{1}{2}\)cup (C) \(\frac{3}{10}\)cup, \(\frac{3}{8}\)cup, \(\frac{1}{2}\)cup (D) \(\frac{3}{10}\)cup, \(\frac{1}{2}\)cup, \(\frac{3}{8}\)cup Answer: \(\frac{2}{8},\frac{2}{6}, \frac{2}{4} \) Explanation: (C)   \(\frac{3}{10}\)cup, \(\frac{3}{8}\)cup, \(\frac{1}{2}\)cup Make the common denominator for all \(\frac{3}{10}\) = \(\frac{12}{40}\) \(\frac{1}{2}\) = \(\frac{20}{40}\) \(\frac{3}{8}\) = \(\frac{15}{40}\)

Texas Go Math Grade 4 Lesson 4.3 Homework and Practice Answer Key

Question 1. \(\frac{2}{8}, \frac{2}{4}, \frac{2}{6}\) Answer: \(\frac{2}{8},\frac{2}{6}, \frac{2}{4} \) Explanation: Make the common denominator for all \(\frac{2}{8}\) = \(\frac{6}{24}\) \(\frac{2}{4}\) = \(\frac{12}{24}\) \(\frac{2}{6}\) = \(\frac{8}{24}\)

Question 2. \(\frac{2}{5}, \frac{1}{3}, \frac{5}{6}\) Answer: \(\frac{1}{3},\frac{2}{5}, \frac{5}{6}\) Explanation: Make the common denominator for all \(\frac{2}{5}\) = \(\frac{12}{30}\) \(\frac{1}{3}\) = \(\frac{10}{30}\) \(\frac{5}{6}\) = \(\frac{25}{30}\)

Write a numerator that makes the statement true.

Question 3. \(\frac{7}{12}\) < \(\frac{}{3}\) < \(\frac{3}{4}\) Answer: \(\frac{7}{12}\) < \(\frac{2}{3}\) < \(\frac{3}{4}\) Explanation: Make the common denominator for all \(\frac{7}{12}\) = \(\frac{7}{12}\) \(\frac{}{3}\) = \(\frac{8}{12}\)  = latex]\frac{2}{3}[/latex] \(\frac{3}{4}\) = \(\frac{9}{12}\)

Go Math Grade 4 Lesson 4.3 Practice and Homework Answer Key Question 4. \(\frac{}{10}\) < \(\frac{9}{15}\) < \(\frac{4}{5}\) Answer: \(\frac{5}{10}\) < \(\frac{9}{15}\) < \(\frac{4}{5}\) Explanation: Make the common denominator for all \(\frac{}{10}\) = \(\frac{15}{30}\) =\(\frac{5}{10}\) \(\frac{9}{15}\) = \(\frac{18}{30}\) \(\frac{4}{5}\) = \(\frac{24}{30}\)

Question 6. Walt’s friend Paul also ran in the race. Who finished first, Walt or Paul? Answer: Paul Finished first. Explanation: Walt – \(\frac{4}{5}\) = 0.8 hour = 48 min Dalia –\(\frac{2}{3}\) = 0.66 hour =39.6 min Kyra – \(\frac{5}{6}\) = 0.83 hour = 49.8 min Paul- \(\frac{3}{10}\) = 0.3 hour = 18 min

Lesson Check

Question 7. A recipe for ice cream includes \(\frac{3}{4}\) cup milk, \(\frac{1}{3}\) cup cream, and \(\frac{1}{8}\) cup sugar. Which shows the amounts from least to greatest? (A) \(\frac{1}{3}\)cup, \(\frac{3}{4}\)cup, \(\frac{1}{8}\)cup (B) \(\frac{1}{8}\)cup, \(\frac{3}{4}\)cup, \(\frac{1}{8}\)cup (C) \(\frac{1}{3}\)cup, \(\frac{3}{4}\)cup, \(\frac{1}{8}\)cup (D) \(\frac{1}{8}\)cup, \(\frac{1}{3}\)cup,\(\frac{3}{4}\)cup Answer: D Explanation: \(\frac{1}{3}\) = 0.33 \(\frac{3}{4}\) = 0.75 \(\frac{1}{8}\) =  0.12

Question 8. Order the fractions from least to greatest. \(\frac{4}{5}, \frac{1}{3}, \frac{7}{10}, \frac{3}{5}\) (A) \(\frac{1}{3}\) < \(\frac{3}{5}\) < \(\frac{7}{10}\) < \(\frac{4}{5}\) (B) \(\frac{3}{5}\) < \(\frac{1}{3}\) < \(\frac{4}{5}\) < \(\frac{7}{10}\) (C) \(\frac{7}{10}\) < \(\frac{3}{5}\) < \(\frac{1}{3}\) < \(\frac{4}{5}\) (D) \(\frac{4}{5}\) < \(\frac{7}{10}\) < \(\frac{1}{3}\) < \(\frac{3}{5}\) Answer: Explanation: \(\frac{4}{5}\) =0.8 \(\frac{7}{10}\) =0.7 \(\frac{1}{3}\) = 0.33 \(\frac{3}{5}\) = 0.6 Based on above decimal value , below is the order from least to greatest \(\frac{1}{3}\) < \(\frac{3}{5}\) < \(\frac{7}{10}\) < \(\frac{4}{5}\)

Question 9. Order the fractions from least to greatest. \(\frac{2}{3}, \frac{1}{4}, \frac{5}{12}, \frac{3}{4}\) (A) \(\frac{1}{4}, \frac{2}{3}, \frac{5}{12}, \frac{3}{4}\) (B) \(\frac{3}{4}, \frac{5}{12}, \frac{2}{3}, \frac{1}{4}\) (C) \(\frac{1}{4}, \frac{5}{12}, \frac{2}{3}, \frac{3}{4}\) (D) \(\frac{1}{4}, \frac{5}{12}, \frac{3}{4}, \frac{2}{3}\) Answer: (D) \(\frac{1}{4}, \frac{5}{12}, \frac{3}{4}, \frac{2}{3}\) Explanation: \(\frac{2}{3}\) =0.66 \(\frac{1}{4}\) =0.25 \(\frac{5}{12}\) = 0.41 \(\frac{3}{4}\) = 0.75 below is the Order the fractions from least to greatest. \(\frac{1}{4}, \frac{5}{12}, \frac{3}{4}, \frac{2}{3}\)

Question 10. Three potatoes weigh \(\frac{1}{4}\) pound, \(\frac{5}{8}\) pound, and \(\frac{1}{2}\) pound. Which shows the weights from least to greatest? (A) \(\frac{1}{4}\)pound, \(\frac{5}{8}\)pound, \(\frac{1}{2}\)pound (B) \(\frac{1}{2}\)pound, \(\frac{1}{4}\)pound, \(\frac{5}{8}\)pound (C) \(\frac{5}{8}\)pound, \(\frac{1}{2}\)pound, \(\frac{1}{4}\)pound (D) \(\frac{1}{4}\)pound, \(\frac{1}{2}\)pound, \(\frac{5}{8}\)pound Answer: (D) \(\frac{1}{4}\)pound, \(\frac{1}{2}\)pound, \(\frac{5}{8}\)pound Explanation: \(\frac{1}{4}\) = 0.25 \(\frac{5}{8}\) = 0.625 \(\frac{1}{2}\) = 0.5 Based on the above decimal values of weights, below is the order from least to greatest \(\frac{1}{4}\)pound, \(\frac{1}{2}\)pound, \(\frac{5}{8}\)pound

My Homework Lesson 4.3 Compare and Order Fractions Answer Key Question 11. Multi-Step Selma used stones to outline her garden. The lengths of the stones are \(\frac{1}{3}\)foot, \(\frac{7}{12}\) foot, and \(\frac{3}{4}\) foot. What are the lengths in order from shortest to longest? (A) \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot, \(\frac{1}{3}\)foot (B) \(\frac{1}{3}\)foot, \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot (C) \(\frac{3}{4}\)foot, \(\frac{7}{12}\)foot, \(\frac{1}{3}\)foot (D) \(\frac{7}{12}\)foot, \(\frac{1}{3}\)foot, \(\frac{3}{4}\)foot Answer: (B) \(\frac{1}{3}\)foot, \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot Explanation: \(\frac{7}{12}\) =0.58 \(\frac{3}{4}\) = 0.75 \(\frac{1}{3}\) = 0.33 Based on above decimal values of lengths, below is the order from shortest to longest \(\frac{1}{3}\)foot, \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot

Question 12. Multi-Step Ms. Mohan bought cheese for a recipe. She bought \(\frac{5}{6}\) pound of cheddar cheese, \(\frac{1}{4}\) pound of Swiss cheese, and \(\frac{3}{8}\) pound of American cheese. What are the amounts in order from least to greatest? (A) \(\frac{5}{6}\)pound, \(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound (B) \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound, \(\frac{1}{4}\)pound (C) \(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound (D) \(\frac{3}{8}\)pound, \(\frac{1}{4}\)pound, \(\frac{5}{6}\)pound Answer: (C) \(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound Explanation: \(\frac{5}{6}\)= 0.83 \(\frac{1}{4}\) = 0.25 \(\frac{3}{8}\) = 0.37 Based on above decimal values, below is the order from least to greatest \(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound

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