Let’s go row by row and convert each fraction, decimal, or percent to the other two forms.
Remember:
- To turn a
fraction into a
decimal, divide the top number by the bottom number.
- To turn a
decimal into a
percent, multiply by 100 (or move the decimal point two places right).
- To turn a
percent into a
decimal, divide by 100 (or move the decimal point two places left).
- To turn a
percent into a
fraction, write it over 100 and simplify if needed.
- To turn a
decimal into a
fraction, think of it as “tenths” or “hundredths” — for example, .77 is 77/100.
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a. Fraction = 15/100 → Decimal = .15 (given) → Percent = 15%
*(Because .15 × 100 = 15)*
b. Fraction = 73/100 → Decimal = .73 → Percent = 73% (given)
*(73 ÷ 100 = .73; .73 × 100 = 73%)*
c. Percent = 39% → Decimal = .39 → Fraction = 39/100
*(39 ÷ 100 = .39; 39% means 39 out of 100)*
d. Fraction = 4/100 → Decimal = .04 → Percent = 4%
*(4 ÷ 100 = .04; .04 × 100 = 4%)*
e. Decimal = .77 → Fraction = 77/100 → Percent = 77%
*(.77 × 100 = 77%; .77 means 77 hundredths)*
f. Percent = 46% → Decimal = .46 → Fraction = 46/100
*(46 ÷ 100 = .46; 46% = 46/100)*
g. Fraction = 50/100 → Decimal = .50 → Percent = 50%
*(50 ÷ 100 = .50; .50 × 100 = 50%)*
h. Decimal = .06 → Fraction = 6/100 → Percent = 6%
*(.06 × 100 = 6%; .06 = 6 hundredths = 6/100)*
i. Percent = 80% → Decimal = .80 → Fraction = 80/100
*(80 ÷ 100 = .80; 80% = 80/100)*
j. Fraction = 26/100 → Decimal = .26 → Percent = 26%
*(26 ÷ 100 = .26; .26 × 100 = 26%)*
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Final Answer:
a. percent = 15%
b. decimal = .73
c. fraction = 39/100, decimal = .39
d. decimal = .04, percent = 4%
e. fraction = 77/100, percent = 77%
f. fraction = 46/100, decimal = .46
g. decimal = .50, percent = 50%
h. fraction = 6/100, percent = 6%
i. fraction = 80/100, decimal = .80
j. decimal = .26, percent = 26%
Parent Tip: Review the logic above to help your child master the concept of converting fractions decimals and percents worksheet with answers.