Solve 7/5+1/3(2-1/5)

$$\frac{ 7 }{ 5 } + \frac{ 1 }{ 3 } (2- \frac{ 1 }{ 5 } )$$

Evaluate

$$2$$

Solution Steps

Convert 2 to fraction \frac{10}{5}.

$$\frac{7}{5}+\frac{1}{3}\left(\frac{10}{5}-\frac{1}{5}\right)$$

Since \frac{10}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{5}+\frac{1}{3}\times \frac{10-1}{5}$$

Subtract 1 from 10 to get 9.

$$\frac{7}{5}+\frac{1}{3}\times \frac{9}{5}$$

Multiply \frac{1}{3} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{5}+\frac{1\times 9}{3\times 5}$$

Do the multiplications in the fraction \frac{1\times 9}{3\times 5}.

$$\frac{7}{5}+\frac{9}{15}$$

Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.

$$\frac{7}{5}+\frac{3}{5}$$

Since \frac{7}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{7+3}{5}$$

Add 7 and 3 to get 10.

$$\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$2$$

Factor

$$2$$