Solve 3/8div5/16=3/4div8/5

$$\frac{ 3 }{ 8 } \div \frac{ 5 }{ 16 } = \frac{ 3 }{ 4 } \div \frac{ 8 }{ 5 }$$

Verify

Solution Steps

Divide \frac{3}{8} by \frac{5}{16} by multiplying \frac{3}{8} by the reciprocal of \frac{5}{16}.

$$\frac{3}{8}\times \frac{16}{5}=\frac{\frac{3}{4}}{\frac{8}{5}}$$

Multiply \frac{3}{8} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 16}{8\times 5}=\frac{\frac{3}{4}}{\frac{8}{5}}$$

Do the multiplications in the fraction \frac{3\times 16}{8\times 5}.

$$\frac{48}{40}=\frac{\frac{3}{4}}{\frac{8}{5}}$$

Reduce the fraction \frac{48}{40} to lowest terms by extracting and canceling out 8.

$$\frac{6}{5}=\frac{\frac{3}{4}}{\frac{8}{5}}$$

Divide \frac{3}{4} by \frac{8}{5} by multiplying \frac{3}{4} by the reciprocal of \frac{8}{5}.

$$\frac{6}{5}=\frac{3}{4}\times \frac{5}{8}$$

Multiply \frac{3}{4} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6}{5}=\frac{3\times 5}{4\times 8}$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 8}.

$$\frac{6}{5}=\frac{15}{32}$$

Least common multiple of 5 and 32 is 160. Convert \frac{6}{5} and \frac{15}{32} to fractions with denominator 160.

$$\frac{192}{160}=\frac{75}{160}$$

Compare \frac{192}{160} and \frac{75}{160}.

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