Solve 7/8:5/6

$$\frac { 7 } { 8 } : \frac { 5 } { 6 }$$

Evaluate

$$\frac{21}{20}=1.05$$

Solution Steps

Divide \frac{7}{8} by \frac{5}{6} by multiplying \frac{7}{8} by the reciprocal of \frac{5}{6}.

$$\frac{7}{8}\times \frac{6}{5}$$

Multiply \frac{7}{8} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 6}{8\times 5}$$

Do the multiplications in the fraction \frac{7\times 6}{8\times 5}.

$$\frac{42}{40}$$

Reduce the fraction \frac{42}{40} to lowest terms by extracting and canceling out 2.

$$\frac{21}{20}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2} \cdot 5} = 1\frac{1}{20} = 1.05$$