Let’s solve each problem step by step.
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Problem a:
We see 3 rows of rectangles. Each row has 7 equal parts, and 4 are shaded.
So, in one row: 4 out of 7 → that’s
4/7
There are 3 identical rows → so we multiply:
4/7 × 3 = 12/7
Now convert to mixed number:
12 ÷ 7 = 1 with remainder 5 →
1 5/7
✔ Final Answer for a:
1 5/7
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Problem b:
We see 3 rows. Each row has 9 equal parts, and 8 are shaded.
So, in one row: 8 out of 9 →
8/9
Multiply by 3 rows:
8/9 × 3 = 24/9
Simplify 24/9: divide numerator and denominator by 3 →
8/3
Convert to mixed number: 8 ÷ 3 = 2 with remainder 2 →
2 2/3
✔ Final Answer for b:
2 2/3
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Problem c:
We see 6 squares. Each square is divided into 4 equal parts (like a window pane), and 1 part is green.
So, in one square: 1 out of 4 →
1/4
There are 6 squares → multiply:
1/4 × 6 = 6/4
Simplify 6/4: divide by 2 →
3/2
Convert to mixed number: 3 ÷ 2 = 1 with remainder 1 →
1 1/2
✔ Final Answer for c:
1 1/2
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Problem d:
We see 3 circles. Each circle is divided into 3 equal parts, and 2 parts are shaded.
So, in one circle: 2 out of 3 →
2/3
Multiply by 3 circles:
2/3 × 3 = 6/3 = 2
That’s a whole number → no fraction needed.
✔ Final Answer for d:
2
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Problem e:
We see 7 triangles. Each triangle is split into 2 equal parts (left and right), and 1 part is red.
So, in one triangle: 1 out of 2 →
1/2
Multiply by 7 triangles:
1/2 × 7 = 7/2
Convert to mixed number: 7 ÷ 2 = 3 with remainder 1 →
3 1/2
✔ Final Answer for e:
3 1/2
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Final Answer:
a. 1 5/7
b. 2 2/3
c. 1 1/2
d. 2
e. 3 1/2
Parent Tip: Review the logic above to help your child master the concept of multiplying whole numbers by fractions worksheet.