Let’s solve each problem step by step. We’re multiplying mixed numbers and fractions. The key is to first turn the mixed number into an improper fraction, then multiply straight across (numerator × numerator, denominator × denominator), and finally simplify if needed — but in this worksheet, they’ve already given us the final answer, so we just need to fill in the missing numerators.
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Problem 1:
We have:
$1 \frac{2}{3} \times \frac{5}{4}$
Step 1: Convert $1 \frac{2}{3}$ to an improper fraction.
Multiply whole number by denominator: $1 × 3 = 3$, then add numerator: $3 + 2 = 5$. So it becomes $\frac{5}{3}$.
So now:
$\frac{5}{3} × \frac{5}{4} = \frac{5×5}{3×4} = \frac{25}{12}$
And $\frac{25}{12} = 2 \frac{1}{12}$ (since 12 goes into 25 twice with remainder 1).
So the blanks are:
First box:
5 (from $\frac{5}{3}$)
Second box:
5 (from $\frac{5}{4}$)
Third box:
25 (from $\frac{25}{12}$)
✔ Check: $5/3 × 5/4 = 25/12 = 2 1/12$ → matches!
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Problem 2:
$2 \frac{1}{4} × \frac{7}{2}$
Convert $2 \frac{1}{4}$: $2 × 4 = 8$, plus 1 = 9 → $\frac{9}{4}$
Now: $\frac{9}{4} × \frac{7}{2} = \frac{63}{8}$
$\frac{63}{8} = 7 \frac{7}{8}$ (because 8×7=56, 63-56=7)
Blanks:
First box:
9
Second box:
7
Third box:
63
✔ Check: $9/4 × 7/2 = 63/8 = 7 7/8$ → correct!
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Problem 3:
$3 \frac{2}{5} × \frac{1}{2}$
Convert $3 \frac{2}{5}$: $3 × 5 = 15$, plus 2 = 17 → $\frac{17}{5}$
Now: $\frac{17}{5} × \frac{1}{2} = \frac{17}{10}$
$\frac{17}{10} = 1 \frac{7}{10}$ (10 goes into 17 once, remainder 7)
Blanks:
First box:
17
Second box:
1
Third box:
17
✔ Check: $17/5 × 1/2 = 17/10 = 1 7/10$ → perfect!
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Problem 4:
$2 \frac{1}{3} × \frac{8}{3}$
Convert $2 \frac{1}{3}$: $2 × 3 = 6$, plus 1 = 7 → $\frac{7}{3}$
Now: $\frac{7}{3} × \frac{8}{3} = \frac{56}{9}$
$\frac{56}{9} = 6 \frac{2}{9}$ (9×6=54, 56-54=2)
Blanks:
First box:
7
Second box:
8
Third box:
56
✔ Check: $7/3 × 8/3 = 56/9 = 6 2/9$ → yes!
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Final Answer:
For Problem 1: 5, 5, 25
For Problem 2: 9, 7, 63
For Problem 3: 17, 1, 17
For Problem 4: 7, 8, 56
Parent Tip: Review the logic above to help your child master the concept of 4th grade math worksheet multiplying fractions.
