Let’s solve each problem one by one. We’ll convert fractions to decimals and decimals to fractions as needed.
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1) 1/3 = ?
Divide 1 by 3 → 0.333... (repeating)
We can write it as
0.333 (rounded to 3 decimal places, like in the worksheet)
2) 4/5 = ?
4 ÷ 5 =
0.8
3) 1/3 = ?
Same as #1 →
0.333
4) 8/10 = ?
8 ÷ 10 =
0.8
5) 3/10 = ?
3 ÷ 10 =
0.3
6) 3/4 = ?
3 ÷ 4 =
0.75
7) 2/5 = ?
2 ÷ 5 =
0.4
8) 3/6 = ?
Simplify first: 3/6 = 1/2 → 1 ÷ 2 =
0.5
9) 2/4 = ?
Simplify: 2/4 = 1/2 →
0.5
10) 5/6 = ?
5 ÷ 6 = 0.8333... → round to
0.833
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Now the other side — converting decimals to fractions:
11) 0.5 = ?
0.5 = 5/10 =
1/2
12) 0.667 = ?
This is approximately 2/3 (since 2÷3=0.666...) →
2/3
13) 0.625 = ?
Think: 625/1000 → simplify: divide numerator and denominator by 125 → 5/8 →
5/8
14) 0.8 = ?
8/10 =
4/5
15) 0.3 = ?
3/10 → already simplified →
3/10
16) 0.6 = ?
6/10 =
3/5
17) 0.375 = ?
375/1000 → divide by 125 → 3/8 →
3/8
18) 0.8 = ?
Same as #14 →
4/5
19) 0.333 = ?
Approximately 1/3 →
1/3
20) 0.25 = ?
25/100 =
1/4
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Final Answer:
1) 0.333
2) 0.8
3) 0.333
4) 0.8
5) 0.3
6) 0.75
7) 0.4
8) 0.5
9) 0.5
10) 0.833
11) 1/2
12) 2/3
13) 5/8
14) 4/5
15) 3/10
16) 3/5
17) 3/8
18) 4/5
19) 1/3
20) 1/4
Parent Tip: Review the logic above to help your child master the concept of fractions to decimals worksheet 8th grade.
