Solve 7/4+frac{8{5}}

$$\frac{ 7 }{ 4+ \frac{ 8 }{ 5 } }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Convert 4 to fraction \frac{20}{5}.

$$\frac{7}{\frac{20}{5}+\frac{8}{5}}$$

Since \frac{20}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.

$$\frac{7}{\frac{20+8}{5}}$$

Add 20 and 8 to get 28.

$$\frac{7}{\frac{28}{5}}$$

Divide 7 by \frac{28}{5} by multiplying 7 by the reciprocal of \frac{28}{5}.

$$7\times \frac{5}{28}$$

Express 7\times \frac{5}{28} as a single fraction.

$$\frac{7\times 5}{28}$$

Multiply 7 and 5 to get 35.

$$\frac{35}{28}$$

Reduce the fraction \frac{35}{28} to lowest terms by extracting and canceling out 7.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$