Multiply Fractions by Whole

lessonbunny.com

Answer Key & Explanations

Multiply Fractions by Whole · Grade 4 · Worksheet 3

1. A construction crew needs to build a fence that is 240 meters long. They have completed 5/8 of the fence. How many meters of fencing have they built? Answer: 150 Solution: The total fence length is 240 meters The fraction completed is 5/8 To find how many meters are completed, multiply the total length by the fraction: 240 × 5/8 First multiply 240 by 5: 240 × 5 = 1200 Then divide by 8: 1200 ÷ 8 = 150 The crew has built 150 meters of fencing The answer is 150.
   Full step-by-step solution

   Step 1: The total fence length is 240 meters Step 2: The fraction completed is 5/8 Step 3: To find how many meters are completed, multiply the total length by the fraction: 240 × 5/8 Step 4: First multiply 240 by 5: 240 × 5 = 1200 Step 5: Then divide by 8: 1200 ÷ 8 = 150 Step 6: The crew has built 150 meters of fencing The answer is 150.

2. A rectangular classroom floor is covered with square tiles. The floor measures 15 tiles long and 12 tiles wide. If you look at the entire floor from above, how many tiles are there in total? Answer: 180 Solution: The classroom floor is rectangular with tiles arranged in rows and columns. There are 15 tiles along the length (rows). There are 12 tiles along the width (columns).
   Full step-by-step solution

   Step 1: The classroom floor is rectangular with tiles arranged in rows and columns. Step 2: There are 15 tiles along the length (rows). Step 3: There are 12 tiles along the width (columns). Step 4: To find the total number of tiles, multiply the number of rows by the number of columns: 15 × 12. Step 5: Calculate 15 × 12 = 180. The answer is 180.

3. 7 × 3/8 = ? Answer: 21/8 Solution: Write the whole number as a fraction: 7 = 7/1 Multiply the numerators: 7 × 3 = 21 Multiply the denominators: 1 × 8 = 8 Combine the results: 21/8 The answer is 21/8.
   Full step-by-step solution

   Step 1: Write the whole number as a fraction: 7 = 7/1 Step 2: Multiply the numerators: 7 × 3 = 21 Step 3: Multiply the denominators: 1 × 8 = 8 Step 4: Combine the results: 21/8 The answer is 21/8.

4. A school is organizing a science fair and needs to provide snacks. Each student will receive 3/4 of a fruit cup. If there are 36 students participating in the science fair, how many whole fruit cups does the school need to prepare? Answer: 27 Solution: Each student gets 3/4 of a fruit cup There are 36 students total Multiply the fraction by the whole number: 3/4 × 36 Write 36 as a fraction: 36/1 Multiply numerators: 3 × 36 = 108 Multiply denominators: 4 × 1 = 4 Simplify the fraction: 108/4 = 27 The school needs 27 whole fruit cups The answer…
   Full step-by-step solution

   Step 1: Each student gets 3/4 of a fruit cup Step 2: There are 36 students total Step 3: Multiply the fraction by the whole number: 3/4 × 36 Step 4: Write 36 as a fraction: 36/1 Step 5: Multiply numerators: 3 × 36 = 108 Step 6: Multiply denominators: 4 × 1 = 4 Step 7: Simplify the fraction: 108/4 = 27 Step 8: The school needs 27 whole fruit cups The answer is 27.

5. A rectangular garden is divided into 4 equal sections. Each section is planted with 12 tomato plants arranged in 3 equal rows. How many tomato plants are in each row of one section? Answer: 4 Solution: The garden is divided into 4 equal sections. Each section has 12 tomato plants. These 12 plants are arranged in 3 equal rows in that section.
   Full step-by-step solution

   Let's break this down step by step. Step 1: Understand the problem. The garden is divided into 4 equal sections. Each section has 12 tomato plants. These 12 plants are arranged in 3 equal rows in that section. We need to find how many plants are in each row of one section. Step 2: Focus on one section. One section has 12 plants in total. These 12 plants are split equally into 3 rows. Step 3: Divide the total plants in one section by the number of rows. Number of plants per row = Total plants in section / Number of rows = 12 / 3 Step 4: Calculate. 12 divided by 3 equals 4. Step 5: Interpret the result. So, each row in one section has 4 tomato plants. Final answer: 4

6. A rectangular farm field measures 120 meters long and 80 meters wide. The farmer plants corn in a grid pattern with 15 rows along the length and 10 rows along the width. How many corn plants are in the entire field? Answer: 150 Solution: The farmer plants corn in a grid pattern with 15 rows along the length There are 10 rows along the width To find the total number of corn plants, multiply the number of rows along the length by the number of rows along the width 15 × 10 = 150 The total number of corn plants is 150
   Full step-by-step solution

   Step 1: The farmer plants corn in a grid pattern with 15 rows along the length Step 2: There are 10 rows along the width Step 3: To find the total number of corn plants, multiply the number of rows along the length by the number of rows along the width Step 4: 15 × 10 = 150 Step 5: The total number of corn plants is 150

7. 3 × 2/5 = ? Answer: 6/5 Solution: We are multiplying a whole number (3) by a fraction (2/5). The expression is: 3 × 2/5. Interpret the whole number as a fraction.
   Full step-by-step solution

   Step 1: Understand the problem. We are multiplying a whole number (3) by a fraction (2/5). The expression is: 3 × 2/5. Step 2: Interpret the whole number as a fraction. Any whole number can be written as a fraction with denominator 1. So, 3 = 3/1. Now the problem becomes: (3/1) × (2/5). Step 3: Multiply the fractions. To multiply fractions, multiply the numerators together and multiply the denominators together. Numerators: 3 × 2 = 6 Denominators: 1 × 5 = 5 So, the product is 6/5. Step 4: Check if the fraction can be simplified. 6 and 5 have no common factors other than 1, so 6/5 is already in simplest form. Final Answer: 6/5