Solve 22/15/1-frac{8{15}}

$$\frac{ \frac{ 22 }{ 15 } }{ 1- \frac{ 8 }{ 15 } }$$

Evaluate

$$\frac{22}{7}\approx 3.142857143$$

Solution Steps

Convert 1 to fraction \frac{15}{15}.

$$\frac{\frac{22}{15}}{\frac{15}{15}-\frac{8}{15}}$$

Since \frac{15}{15} and \frac{8}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{22}{15}}{\frac{15-8}{15}}$$

Subtract 8 from 15 to get 7.

$$\frac{\frac{22}{15}}{\frac{7}{15}}$$

Divide \frac{22}{15} by \frac{7}{15} by multiplying \frac{22}{15} by the reciprocal of \frac{7}{15}.

$$\frac{22}{15}\times \frac{15}{7}$$

Multiply \frac{22}{15} times \frac{15}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 15}{15\times 7}$$

Cancel out 15 in both numerator and denominator.

$$\frac{22}{7}$$

Factor

$$\frac{2 \cdot 11}{7} = 3\frac{1}{7} = 3.142857142857143$$