Solve 1/2div3/4=3/82/3

$$\frac { 1 } { 2 } \div \frac { 3 } { 4 } = \frac { 3 } { 8 } \frac { 2 } { 3 }$$

Verify

Solution Steps

Divide \frac{1}{2} by \frac{3}{4} by multiplying \frac{1}{2} by the reciprocal of \frac{3}{4}.

$$\frac{1}{2}\times \frac{4}{3}=\frac{3}{8}\times \frac{2}{3}$$

Multiply \frac{1}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{2\times 3}=\frac{3}{8}\times \frac{2}{3}$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 3}.

$$\frac{4}{6}=\frac{3}{8}\times \frac{2}{3}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}=\frac{3}{8}\times \frac{2}{3}$$

Multiply \frac{3}{8} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{3}=\frac{3\times 2}{8\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{3}=\frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}=\frac{1}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{8}{12}=\frac{3}{12}$$

Compare \frac{8}{12} and \frac{3}{12}.

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