$$ 10 imes \frac{3}{4}=10 imes \frac{3}{7} \div \frac{1}{4}=30 \div 1 $$ $$ 10 imes \frac{3}{4}=10 \div \frac{4}{3} imes 3= $$ Why are these equivalent?

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$$ 10 	imes \frac{3}{4}=10 	imes \frac{3}{7} \div \frac{1}{4}=30 \div 1 $$ $$ 10 	imes \frac{3}{4}=10 \div \frac{4}{3} 	imes 3= $$ Why are these equivalent?

Mullins Bartlett · Accepted Answer

The first equation is not equivalent because $$\frac{3}{4}$$ is not equal to $$\frac{12}{7}$$. The second equation is valid because both sides simplify to $$10 	imes \frac{3}{4}$$.

\( 10 \times \frac{3}{4}=10 \times \frac{3}{7} \div \frac{1}{4}=30 \div 1 \) \( 10 \times \frac{3}{4}=10 \div \frac{4}{3} \times 3= \) Why are these equivalent?

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\( 10 \times \frac{3}{4}=10 \times \frac{3}{7} \div \frac{1}{4}=30 \div 1 \) \( 10 \times \frac{3}{4}=10 \div \frac{4}{3} \times 3= \) Why are these equivalent?

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