Solve (3/4+2/5)div25/7

$$( \frac{ 3 }{ 4 } + \frac{ 2 }{ 5 } ) \div \frac{ 25 }{ 7 }$$

Evaluate

$$\frac{161}{500}=0.322$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{\frac{15}{20}+\frac{8}{20}}{\frac{25}{7}}$$

Since \frac{15}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{15+8}{20}}{\frac{25}{7}}$$

Add 15 and 8 to get 23.

$$\frac{\frac{23}{20}}{\frac{25}{7}}$$

Divide \frac{23}{20} by \frac{25}{7} by multiplying \frac{23}{20} by the reciprocal of \frac{25}{7}.

$$\frac{23}{20}\times \frac{7}{25}$$

Multiply \frac{23}{20} times \frac{7}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 7}{20\times 25}$$

Do the multiplications in the fraction \frac{23\times 7}{20\times 25}.

$$\frac{161}{500}$$

Factor

$$\frac{7 \cdot 23}{2 ^ {2} \cdot 5 ^ {3}} = 0.322$$