Solve 4/5+(1/5+5/4*4/7)

$$\frac { 4 } { 5 } + ( \frac { 1 } { 5 } + \frac { 5 } { 4 } \times \frac { 4 } { 7 } )$$

Evaluate

$$\frac{12}{7}\approx 1.714285714$$

Solution Steps

Since \frac{4}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{5}+\frac{5}{4}\times \frac{4}{7}$$

Add 4 and 1 to get 5.

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

Divide 5 by 5 to get 1.

$$1+\frac{5}{4}\times \frac{4}{7}$$

Multiply \frac{5}{4} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$1+\frac{5\times 4}{4\times 7}$$

Cancel out 4 in both numerator and denominator.

$$1+\frac{5}{7}$$

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

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

Since \frac{7}{7} and \frac{5}{7} have the same denominator, add them by adding their numerators.

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

Add 7 and 5 to get 12.

$$\frac{12}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{7} = 1\frac{5}{7} = 1.7142857142857142$$