Solve 6/7/frac{8{15}}

$$\frac { \frac { 6 } { 7 } } { \frac { 8 } { 15 } }$$

Evaluate

$$\frac{45}{28}\approx 1.607142857$$

Solution Steps

Divide \frac{6}{7} by \frac{8}{15} by multiplying \frac{6}{7} by the reciprocal of \frac{8}{15}.

$$\frac{6}{7}\times \frac{15}{8}$$

Multiply \frac{6}{7} times \frac{15}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 15}{7\times 8}$$

Do the multiplications in the fraction \frac{6\times 15}{7\times 8}.

$$\frac{90}{56}$$

Reduce the fraction \frac{90}{56} to lowest terms by extracting and canceling out 2.

$$\frac{45}{28}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2} \cdot 7} = 1\frac{17}{28} = 1.6071428571428572$$