Solve 1,6/1+frac{3{7}}

$$\frac { 1,6 } { 1 + \frac { 3 } { 7 } }$$

Evaluate

$$1,12$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

$$\frac{1,6}{\frac{7}{7}+\frac{3}{7}}$$

Since \frac{7}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$\frac{1,6}{\frac{7+3}{7}}$$

Add 7 and 3 to get 10.

$$\frac{1,6}{\frac{10}{7}}$$

Divide 1,6 by \frac{10}{7} by multiplying 1,6 by the reciprocal of \frac{10}{7}.

$$1,6\times \frac{7}{10}$$

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.

$$\frac{8}{5}\times \frac{7}{10}$$

Multiply \frac{8}{5} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 7}{5\times 10}$$

Do the multiplications in the fraction \frac{8\times 7}{5\times 10}.

$$\frac{56}{50}$$

Reduce the fraction \frac{56}{50} to lowest terms by extracting and canceling out 2.

$$\frac{28}{25}$$

Factor

$$\frac{7 \cdot 2 ^ {2}}{5 ^ {2}} = 1\frac{3}{25} = 1.12$$