Solve 7/8:2/32=

$$\frac { 7 } { 8 } : \frac { 2 } { 3 } 2 =$$

Evaluate

$$\frac{21}{8}=2.625$$

Solution Steps

Divide \frac{7}{8} by \frac{2}{3} by multiplying \frac{7}{8} by the reciprocal of \frac{2}{3}.

$$\frac{7}{8}\times \frac{3}{2}\times 2$$

Multiply \frac{7}{8} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{8\times 2}\times 2$$

Do the multiplications in the fraction \frac{7\times 3}{8\times 2}.

$$\frac{21}{16}\times 2$$

Express \frac{21}{16}\times 2 as a single fraction.

$$\frac{21\times 2}{16}$$

Multiply 21 and 2 to get 42.

$$\frac{42}{16}$$

Reduce the fraction \frac{42}{16} to lowest terms by extracting and canceling out 2.

$$\frac{21}{8}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {3}} = 2\frac{5}{8} = 2.625$$