Solve 7/16div28/32div4/8

$$\frac { 7 } { 16 } \div \frac { 28 } { 32 } \div \frac { 4 } { 8 }$$

Evaluate

$$1$$

Solution Steps

Divide \frac{\frac{7}{16}}{\frac{28}{32}} by \frac{4}{8} by multiplying \frac{\frac{7}{16}}{\frac{28}{32}} by the reciprocal of \frac{4}{8}.

$$\frac{\frac{7}{16}\times 8}{\frac{28}{32}\times 4}$$

Express \frac{7}{16}\times 8 as a single fraction.

$$\frac{\frac{7\times 8}{16}}{\frac{28}{32}\times 4}$$

Multiply 7 and 8 to get 56.

$$\frac{\frac{56}{16}}{\frac{28}{32}\times 4}$$

Reduce the fraction \frac{56}{16} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{7}{2}}{\frac{28}{32}\times 4}$$

Reduce the fraction \frac{28}{32} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{7}{2}}{\frac{7}{8}\times 4}$$

Express \frac{7}{8}\times 4 as a single fraction.

$$\frac{\frac{7}{2}}{\frac{7\times 4}{8}}$$

Multiply 7 and 4 to get 28.

$$\frac{\frac{7}{2}}{\frac{28}{8}}$$

Reduce the fraction \frac{28}{8} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{7}{2}}{\frac{7}{2}}$$

Divide \frac{7}{2} by \frac{7}{2} to get 1.

$$1$$

Factor

$$1$$