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Fraction × Fraction

Grade 5 · Fractions · Worksheet 2

  1. 2/7 × 7/12 = ? Answer: ______________
  2. Noah is making a fruit salad for a class party. The recipe calls for 3/4 of a cup of strawberries for one serving. If Noah wants to make 2/3 of a serving, how many cups of strawberries should he use? Answer: ______________
  3. Liam is baking cookies and needs 2/3 of a cup of chocolate chips for one batch. He decides to make 3/4 of a batch. What fraction of a cup of chocolate chips does Liam need? Answer: ______________
  4. A farmer is planting a rectangular field that measures 3/4 of a kilometer by 7/8 of a kilometer. What is the area of the field in square kilometers? Answer: ______________
  5. Noah is building a model train set and needs to paint a section of track. He has 3/5 of a can of red paint. If he uses 2/3 of his red paint to paint the track, what fraction of a full can of paint does Noah use? Answer: ______________
  6. In art class, Moana has a rectangular piece of paper that is 2 of a yard long and 2 of a yard wide. What is the area of the paper in square yards? Answer: ______________
  7. 7/8 × 9/10 = ? Answer: ______________
  8. 7/8 × 4/9 = ? Answer: ______________
  9. 7/9 × 8/11 = ? Answer: ______________
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Answer Key & Explanations

Fraction × Fraction · Grade 5 · Worksheet 2

  1. 2/7 × 7/12 = ? Answer: 1/6 Solution: Write the multiplication: 2/7 × 7/12 Notice that 7 appears in both numerator and denominator, so we can simplify: 2/7 × 7/12 = 2/1 × 1/12 Multiply the numerators: 2 × 1 = 2 Multiply the denominators: 1 × 12 = 12 Write the product fraction: 2/12 Simplify by dividing numerator and denominator by…
    Full step-by-step solution

    Step 1: Write the multiplication: 2/7 × 7/12 Step 2: Notice that 7 appears in both numerator and denominator, so we can simplify: 2/7 × 7/12 = 2/1 × 1/12 Step 3: Multiply the numerators: 2 × 1 = 2 Step 4: Multiply the denominators: 1 × 12 = 12 Step 5: Write the product fraction: 2/12 Step 6: Simplify by dividing numerator and denominator by 2: 2 ÷ 2 = 1, 12 ÷ 2 = 6 Step 7: The simplified fraction is 1/6 The answer is 1/6.

  2. Noah is making a fruit salad for a class party. The recipe calls for 3/4 of a cup of strawberries for one serving. If Noah wants to make 2/3 of a serving, how many cups of strawberries should he use? Answer: 1/2 Solution: Identify the fractions to multiply. Noah needs 3/4 cup for a full serving but is making 2/3 of a serving. Multiply the fractions: (3/4) * (2/3).
    Full step-by-step solution

    Step 1: Identify the fractions to multiply. Noah needs 3/4 cup for a full serving but is making 2/3 of a serving. Step 2: Multiply the fractions: (3/4) * (2/3). Step 3: Multiply the numerators: 3 * 2 = 6. Step 4: Multiply the denominators: 4 * 3 = 12. Step 5: Write the resulting fraction: 6/12. Step 6: Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 6: 6 ÷ 6 = 1, 12 ÷ 6 = 2. Step 7: The simplified fraction is 1/2. The answer is 1/2 cup.

  3. Liam is baking cookies and needs 2/3 of a cup of chocolate chips for one batch. He decides to make 3/4 of a batch. What fraction of a cup of chocolate chips does Liam need? Answer: 1/2 Solution: Liam needs 2/3 of a cup for one full batch. He is making 3/4 of a batch. To find the amount needed for 3/4 of a batch, multiply the amount for one batch by 3/4.
    Full step-by-step solution

    Liam needs 2/3 of a cup for one full batch. He is making 3/4 of a batch. To find the amount needed for 3/4 of a batch, multiply the amount for one batch by 3/4. So: (2/3) * (3/4) Multiply the numerators: 2 * 3 = 6 Multiply the denominators: 3 * 4 = 12 This gives 6/12. Simplify 6/12 by dividing numerator and denominator by 6: 6 ÷ 6 = 1 12 ÷ 6 = 2 So 6/12 = 1/2. Therefore, Liam needs 1/2 of a cup of chocolate chips.

  4. A farmer is planting a rectangular field that measures 3/4 of a kilometer by 7/8 of a kilometer. What is the area of the field in square kilometers? Answer: 21/32 Solution: Write the multiplication problem for the area: (3/4) × (7/8) Multiply the numerators: 3 × 7 = 21 Multiply the denominators: 4 × 8 = 32 Write the resulting fraction: 21/32 Check if the fraction can be simplified - 21 and 32 have no common factors other than 1, so 21/32 is already in simplest form…
    Full step-by-step solution

    Step 1: Write the multiplication problem for the area: (3/4) × (7/8) Step 2: Multiply the numerators: 3 × 7 = 21 Step 3: Multiply the denominators: 4 × 8 = 32 Step 4: Write the resulting fraction: 21/32 Step 5: Check if the fraction can be simplified - 21 and 32 have no common factors other than 1, so 21/32 is already in simplest form The area of the field is 21/32 square kilometers.

  5. Noah is building a model train set and needs to paint a section of track. He has 3/5 of a can of red paint. If he uses 2/3 of his red paint to paint the track, what fraction of a full can of paint does Noah use? Answer: 2/5 Solution: Identify the fractions to multiply. Noah has 3/5 of a can and uses 2/3 of that amount.
    Full step-by-step solution

    Step 1: Identify the fractions to multiply. Noah has 3/5 of a can and uses 2/3 of that amount. Step 2: Multiply the fractions: (3/5) × (2/3) Step 3: Multiply the numerators: 3 × 2 = 6 Step 4: Multiply the denominators: 5 × 3 = 15 Step 5: Simplify the fraction: 6/15 = 2/5 Noah uses 2/5 of a full can of paint.

  6. In art class, Moana has a rectangular piece of paper that is 2 of a yard long and 2 of a yard wide. What is the area of the paper in square yards? Answer: 4 Solution: Area = length × width. Multiply the fractions: (2) × (2) = (2 × 2) / (1 × 1) = 4. Simplify the fraction: 4.
    Full step-by-step solution

    Step 1: Area = length × width. Step 2: Multiply the fractions: (2) × (2) = (2 × 2) / (1 × 1) = 4. Step 3: Simplify the fraction: 4. Final answer: 4 square yard.

  7. 7/8 × 9/10 = ? Answer: 63/80 Solution: Multiply the numerators: 7 × 9 = 63 Multiply the denominators: 8 × 10 = 80 Combine the results to form the product fraction: 63/80 Check if the fraction can be simplified.
    Full step-by-step solution

    Step 1: Multiply the numerators: 7 × 9 = 63 Step 2: Multiply the denominators: 8 × 10 = 80 Step 3: Combine the results to form the product fraction: 63/80 Step 4: Check if the fraction can be simplified. The greatest common factor of 63 and 80 is 1, so 63/80 is already in simplest form. The answer is 63/80.

  8. 7/8 × 4/9 = ? Answer: 7/18 Solution: Multiply the numerators: 7 × 4 = 28 Multiply the denominators: 8 × 9 = 72 Combine the results to form the product fraction: 28/72 Simplify the fraction by finding the greatest common factor of 28 and 72, which is 4 Divide both numerator and denominator by 4: 28 ÷ 4 = 7, 72 ÷ 4 = 18 The…
    Full step-by-step solution

    Step 1: Multiply the numerators: 7 × 4 = 28 Step 2: Multiply the denominators: 8 × 9 = 72 Step 3: Combine the results to form the product fraction: 28/72 Step 4: Simplify the fraction by finding the greatest common factor of 28 and 72, which is 4 Step 5: Divide both numerator and denominator by 4: 28 ÷ 4 = 7, 72 ÷ 4 = 18 Step 6: The simplified fraction is 7/18 The answer is 7/18.

  9. 7/9 × 8/11 = ? Answer: 56/99 Solution: Multiply the numerators: 7 × 8 = 56 Multiply the denominators: 9 × 11 = 99 Combine the results to form the product fraction: 56/99 Check if the fraction can be simplified.
    Full step-by-step solution

    Step 1: Multiply the numerators: 7 × 8 = 56 Step 2: Multiply the denominators: 9 × 11 = 99 Step 3: Combine the results to form the product fraction: 56/99 Step 4: Check if the fraction can be simplified. The greatest common factor of 56 and 99 is 1, so 56/99 is already in simplest form. The answer is 56/99.