Solve 7/9div8/13*9

$$\frac { 7 } { 9 } \div \frac { 8 } { 13 } \times 9$$

Evaluate

$$\frac{91}{8}=11.375$$

Solution Steps

Divide \frac{7}{9} by \frac{8}{13} by multiplying \frac{7}{9} by the reciprocal of \frac{8}{13}.

$$\frac{7}{9}\times \frac{13}{8}\times 9$$

Multiply \frac{7}{9} times \frac{13}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 13}{9\times 8}\times 9$$

Do the multiplications in the fraction \frac{7\times 13}{9\times 8}.

$$\frac{91}{72}\times 9$$

Express \frac{91}{72}\times 9 as a single fraction.

$$\frac{91\times 9}{72}$$

Multiply 91 and 9 to get 819.

$$\frac{819}{72}$$

Reduce the fraction \frac{819}{72} to lowest terms by extracting and canceling out 9.

$$\frac{91}{8}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {3}} = 11\frac{3}{8} = 11.375$$