Solve 7.8div(1.6*(1-3/8)+6.8)

$$7.8 \div ( 1.6 \times ( 1 - \frac { 3 } { 8 } ) + 6.8 )$$

Evaluate

$$1$$

Solution Steps

Convert 1 to fraction \frac{8}{8}.

$$\frac{7.8}{1.6\left(\frac{8}{8}-\frac{3}{8}\right)+6.8}$$

Since \frac{8}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7.8}{1.6\times \frac{8-3}{8}+6.8}$$

Subtract 3 from 8 to get 5.

$$\frac{7.8}{1.6\times \frac{5}{8}+6.8}$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7.8}{\frac{8}{5}\times \frac{5}{8}+6.8}$$

Cancel out \frac{8}{5} and its reciprocal \frac{5}{8}.

$$\frac{7.8}{1+6.8}$$

Add 1 and 6.8 to get 7.8.

$$\frac{7.8}{7.8}$$

Divide 7.8 by 7.8 to get 1.

$$1$$

Factor

$$1$$