Let’s solve each problem step by step. We need to compare a fraction with a decimal and write >, <, or = in the box.
To do this, we can convert the fraction to a decimal (by dividing numerator by denominator) and then compare it to the given decimal.
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1) 7/8 vs 0.825
7 ÷ 8 = 0.875 → 0.875 > 0.825 →
>
2) 4/6 vs 0.667
4 ÷ 6 = 0.666... ≈ 0.6667 → 0.6667 < 0.667 →
<
3) 5/6 vs 0.708
5 ÷ 6 = 0.833... → 0.833 > 0.708 →
>
4) 2/3 vs 0.667
2 ÷ 3 = 0.666... ≈ 0.6667 → 0.6667 < 0.667 →
<
5) 2/4 vs 0.4
2 ÷ 4 = 0.5 → 0.5 > 0.4 →
>
6) 1/2 vs 0.5
1 ÷ 2 = 0.5 → 0.5 = 0.5 →
=
7) 1/2 vs 0.6
1 ÷ 2 = 0.5 → 0.5 < 0.6 →
<
8) 4/6 vs 0.717
4 ÷ 6 = 0.666... → 0.6667 < 0.717 →
<
9) 4/5 vs 0.65
4 ÷ 5 = 0.8 → 0.8 > 0.65 →
>
10) 2/3 vs 0.667
Same as #4 → 0.6667 < 0.667 →
<
11) 1/2 vs 0.625
1 ÷ 2 = 0.5 → 0.5 < 0.625 →
<
12) 1/8 vs 0.1
1 ÷ 8 = 0.125 → 0.125 > 0.1 →
>
13) 5/8 vs 0.625
5 ÷ 8 = 0.625 → 0.625 = 0.625 →
=
14) 4/5 vs 0.95
4 ÷ 5 = 0.8 → 0.8 < 0.95 →
<
15) 3/4 vs 0.875
3 ÷ 4 = 0.75 → 0.75 < 0.875 →
<
16) 3/4 vs 0.625
3 ÷ 4 = 0.75 → 0.75 > 0.625 →
>
17) 2/5 vs 0.4
2 ÷ 5 = 0.4 → 0.4 = 0.4 →
=
18) 6/8 vs 0.825
6 ÷ 8 = 0.75 → 0.75 < 0.825 →
<
19) 2/3 vs 0.592
2 ÷ 3 = 0.666... → 0.6667 > 0.592 →
>
20) 2/3 vs 0.692
2 ÷ 3 = 0.666... → 0.6667 < 0.692 →
<
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Final Answer:
1) >
2) <
3) >
4) <
5) >
6) =
7) <
8) <
9) >
10) <
11) <
12) >
13) =
14) <
15) <
16) >
17) =
18) <
19) >
20) <
Parent Tip: Review the logic above to help your child master the concept of equivalent fraction decimal worksheet.