Question
Are $\frac{3}{6}, \frac{4}{8}, \frac{5}{10}$ equivalent fractions? Why?
✓
Answer
Here, simplest form of $\frac{ 3 }{ 6 }=\frac{3 \div 3}{6 \div 3}=\frac{1}{2}$ [HCF of 3 and 6 is 3]
and simplest form of $\frac{4}{8}$ is $\frac{4 \div 4}{8 \div 4}=\frac{1}{2}$ [HCF of 4 and 8 is 4]
and simplest form of $\frac{5}{10}$ is $\frac{5 \div 5}{10 \div 5}=\frac{1}{2}$ [HCF of 5 and 10 is 5]
Hence, $\frac{3}{6}, \frac{4}{8}, \frac{5}{10}$ are equivalent fractions.
and simplest form of $\frac{4}{8}$ is $\frac{4 \div 4}{8 \div 4}=\frac{1}{2}$ [HCF of 4 and 8 is 4]
and simplest form of $\frac{5}{10}$ is $\frac{5 \div 5}{10 \div 5}=\frac{1}{2}$ [HCF of 5 and 10 is 5]
Hence, $\frac{3}{6}, \frac{4}{8}, \frac{5}{10}$ are equivalent fractions.
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