This grade 4 multiplying worksheet answer key solves all 24 problems of the multiplying a fraction by a whole number worksheet step by step.
Every solution shows the multiplication, the improper fraction, and the mixed number when the product is more than 1. Compare each step with your own work, and find the step where your work first differs from the key.
Grade 4 Multiplying Worksheet Answer Key: problems 1–5
Problem 1: Shaded part as a multiple
There are 6 equal parts, so each part is \( rac{1}{6}\). Five parts are shaded.
\( rac{5}{6} = 5 \times rac{1}{6}\)
Answer: \(5 \times rac{1}{6}\)
Problem 2: Unit fractions in seven eighths
Seven eighths is 7 pieces of size \( rac{1}{8}\).
Answer: \( rac{7}{8} = 7 \times rac{1}{8}\)
Problem 3: Repeated addition
There are 5 addends, each \( rac{1}{4}\).
\(5 \times rac{1}{4} = rac{5}{4} = 1 rac{1}{4}\)
Answer: \( rac{5}{4} = 1 rac{1}{4}\)
Problem 4: Four thirds on a number line
Four hops of \( rac{1}{3}\) land on \( rac{4}{3}\).
\(4 \times rac{1}{3} = rac{4}{3} = 1 rac{1}{3}\)
Answer: \(1 rac{1}{3}\)
Problem 5: Three groups of two fifths
Each row has 2 fifths. Three rows have 6 fifths.
\(3 \times rac{2}{5} = rac{6}{5} = 1 rac{1}{5}\)
Answer: \(1 rac{1}{5}\)
Grade 4 Multiplying Worksheet Answer Key: problems 6–10
Problem 6: Two groups of three eighths
\(2 \times rac{3}{8} = rac{6}{8} = rac{3}{4}\)
Both \( rac{6}{8}\) and \( rac{3}{4}\) name the same amount.
Answer: \( rac{6}{8}\)
Problem 7: Five sixths
\(4 \times rac{5}{6} = rac{20}{6} = 3 rac{2}{6} = 3 rac{1}{3}\)
Check: 18 sixths is 3 wholes, and 2 sixths are left.
Answer: \(3 rac{1}{3}\)
Problem 8: Hops of three fourths
Hops land on \( rac{3}{4}\), \( rac{6}{4}\), \( rac{9}{4}\).
\(3 \times rac{3}{4} = rac{9}{4} = 2 rac{1}{4}\)
Answer: \(2 rac{1}{4}\)
Problem 9: Six groups of two thirds
\(6 \times rac{2}{3} = rac{12}{3} = 4\)
Twelve thirds make exactly 4 wholes.
Answer: 4
Problem 10: Four groups of five sixths
Count the shaded pieces: \(5 + 5 + 5 + 5 = 20\) sixths.
\(4 \times rac{5}{6} = rac{20}{6} = 3 rac{2}{6} = 3 rac{1}{3}\)
Answer: \(3 rac{1}{3}\)
Grade 4 Multiplying Worksheet Answer Key: problems 11–15
Problem 11: Seven groups of three tenths
\(7 \times rac{3}{10} = rac{21}{10} = 2 rac{1}{10}\)
Answer: \(2 rac{1}{10}\)
Problem 12: Eight groups of three fifths
\(8 \times rac{3}{5} = rac{24}{5} = 4 rac{4}{5}\)
Answer: \(4 rac{4}{5}\)
Problem 13: Twelfths
\(6 \times rac{5}{12} = rac{30}{12} = 2 rac{6}{12} = 2 rac{1}{2}\)
Answer: \(2 rac{1}{2}\)
Problem 14: Missing number
Fifteen eighths is 5 equal groups, so each group has \(15 : 5 = 3\) eighths.
Check: \(5 \times rac{3}{8} = rac{15}{8}\)
Answer: \( rac{3}{8}\)
Problem 15: Compare two products
\(3 \times rac{2}{5} = rac{6}{5} = 1 rac{1}{5}\)
\(2 \times rac{4}{5} = rac{8}{5} = 1 rac{3}{5}\)
\( rac{8}{5}\) has more fifths than \( rac{6}{5}\).
Answer: \(2 \times rac{4}{5}\) is greater
Grade 4 Multiplying Worksheet Answer Key: problems 16–20
Problem 16: Is it correct?
Multiplying the denominator changes the size of the pieces, but the pieces stay eighths. Four groups of 3 eighths is 12 eighths.
\(4 \times rac{3}{8} = rac{12}{8} = 1 rac{4}{8} = 1 rac{1}{2}\)
Answer: \( rac{12}{8} = 1 rac{1}{2}\)
Problem 17: Milk each morning
\(6 \times rac{3}{4} = rac{18}{4} = 4 rac{2}{4} = 4 rac{1}{2}\)
Eighteen fourths: 16 fourths make 4 wholes, and 2 fourths remain.
Answer: \(4 rac{1}{2}\) cups
Problem 18: Flour for cookies
\(5 \times rac{2}{3} = rac{10}{3} = 3 rac{1}{3}\)
Answer: \(3 rac{1}{3}\) cups
Problem 19: Ribbon for bows
\(4 \times rac{5}{8} = rac{20}{8} = 2 rac{4}{8} = 2 rac{1}{2}\)
Answer: \(2 rac{1}{2}\) yards
Problem 20: Little League practice
\(9 \times rac{3}{10} = rac{27}{10} = 2 rac{7}{10}\)
Answer: \(2 rac{7}{10}\) miles
Grade 4 Multiplying Worksheet Answer Key: problems 21–24
Problem 21: Walk to school
Each day: \(2 \times rac{7}{10} = rac{14}{10}\)
Five days: \(5 \times rac{14}{10} = rac{70}{10} = 7\)
Answer: 7 miles
Problem 22: Farmers market
\(7 \times rac{3}{4} = rac{21}{4} = 5 rac{1}{4}\)
Twenty fourths make 5 wholes, so \(5 rac{1}{4}\) is more than 5.
Answer: \(5 rac{1}{4}\) pounds; yes
Problem 23: Lemonade
\(4 \times rac{5}{6} = rac{20}{6} = 3 rac{2}{6} = 3 rac{1}{3}\)
\(3 rac{1}{3}\) is more than 3, so there is enough, with \( rac{1}{3}\) gallon extra.
Answer: Yes, \(3 rac{1}{3}\) gallons
Problem 24: Bike rides
Jamal: \(4 \times rac{5}{8} = rac{20}{8} = 2 rac{4}{8} = 2 rac{1}{2}\)
Mei: \(3 \times rac{7}{8} = rac{21}{8} = 2 rac{5}{8}\)
\( rac{21}{8} – rac{20}{8} = rac{1}{8}\)
Answer: Mei, by \( rac{1}{8}\) mile
How to use this grade 4 multiplying worksheet answer key
Read this grade 4 multiplying worksheet answer key after trying each problem yourself, and redo any problem you missed.
See every chapter on the Grade 4 math page.