Solve 5/6*1/15div7/18

$$\frac { 5 } { 6 } \times \frac { 1 } { 15 } \div \frac { 7 } { 18 }$$

Evaluate

$$\frac{1}{7}\approx 0.142857143$$

Solution Steps

Multiply \frac{5}{6} times \frac{1}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5\times 1}{6\times 15}}{\frac{7}{18}}$$

Do the multiplications in the fraction \frac{5\times 1}{6\times 15}.

$$\frac{\frac{5}{90}}{\frac{7}{18}}$$

Reduce the fraction \frac{5}{90} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1}{18}}{\frac{7}{18}}$$

Divide \frac{1}{18} by \frac{7}{18} by multiplying \frac{1}{18} by the reciprocal of \frac{7}{18}.

$$\frac{1}{18}\times \frac{18}{7}$$

Multiply \frac{1}{18} times \frac{18}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 18}{18\times 7}$$

Cancel out 18 in both numerator and denominator.

$$\frac{1}{7}$$

Factor

$$\frac{1}{7} = 0.14285714285714285$$