To solve the problem of multiplying each set of fractions and simplifying the answers, let's go through each multiplication step by step.
Problem 1: $\frac{2}{8} \times 4$
1.
Rewrite the whole number as a fraction:
$4 = \frac{4}{1}$
2.
Multiply the fractions:
$\frac{2}{8} \times \frac{4}{1} = \frac{2 \times 4}{8 \times 1} = \frac{8}{8}$
3.
Simplify the result:
$\frac{8}{8} = 1$
Answer: $\boxed{1}$
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Problem 2: $\frac{3}{5} \times 5$
1.
Rewrite the whole number as a fraction:
$5 = \frac{5}{1}$
2.
Multiply the fractions:
$\frac{3}{5} \times \frac{5}{1} = \frac{3 \times 5}{5 \times 1} = \frac{15}{5}$
3.
Simplify the result:
$\frac{15}{5} = 3$
Answer: $\boxed{3}$
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Problem 3: $\frac{5}{3} \times \frac{5}{3}$
1.
Multiply the fractions:
$\frac{5}{3} \times \frac{5}{3} = \frac{5 \times 5}{3 \times 3} = \frac{25}{9}$
2.
Simplify the result:
$\frac{25}{9}$ is already in its simplest form.
Answer: $\boxed{\frac{25}{9}}$
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Problem 4: $\frac{21}{5} \times \frac{1}{2}$
1.
Multiply the fractions:
$\frac{21}{5} \times \frac{1}{2} = \frac{21 \times 1}{5 \times 2} = \frac{21}{10}$
2.
Simplify the result:
$\frac{21}{10}$ is already in its simplest form.
Answer: $\boxed{\frac{21}{10}}$
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Problem 5: $\frac{5}{3} \times \frac{21}{5}$
1.
Multiply the fractions:
$\frac{5}{3} \times \frac{21}{5} = \frac{5 \times 21}{3 \times 5} = \frac{105}{15}$
2.
Simplify the result:
Both the numerator and denominator can be divided by their greatest common divisor (GCD), which is 15:
$\frac{105 \div 15}{15 \div 15} = \frac{7}{1} = 7$
Answer: $\boxed{7}$
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Problem 6: $\frac{20}{1} \times \frac{13}{5}$
1.
Multiply the fractions:
$\frac{20}{1} \times \frac{13}{5} = \frac{20 \times 13}{1 \times 5} = \frac{260}{5}$
2.
Simplify the result:
Divide both the numerator and denominator by their GCD, which is 5:
$\frac{260 \div 5}{5 \div 5} = \frac{52}{1} = 52$
Answer: $\boxed{52}$
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Final Answers:
1. $\boxed{1}$
2. $\boxed{3}$
3. $\boxed{\frac{25}{9}}$
4. $\boxed{\frac{21}{10}}$
5. $\boxed{7}$
6. $\boxed{52}$
$\boxed{1, 3, \frac{25}{9}, \frac{21}{10}, 7, 52}$
Parent Tip: Review the logic above to help your child master the concept of free 5th grade math worksheets.
