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

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

Evaluate

$$\frac{161}{200}=0.805$$

Solution Steps

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

$$\frac{\left(\frac{8}{20}+\frac{15}{20}\right)\times \frac{7}{5}}{2}$$

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

$$\frac{\frac{8+15}{20}\times \frac{7}{5}}{2}$$

Add 8 and 15 to get 23.

$$\frac{\frac{23}{20}\times \frac{7}{5}}{2}$$

Multiply \frac{23}{20} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{23\times 7}{20\times 5}}{2}$$

Do the multiplications in the fraction \frac{23\times 7}{20\times 5}.

$$\frac{\frac{161}{100}}{2}$$

Express \frac{\frac{161}{100}}{2} as a single fraction.

$$\frac{161}{100\times 2}$$

Multiply 100 and 2 to get 200.

$$\frac{161}{200}$$

Factor

$$\frac{7 \cdot 23}{2 ^ {3} \cdot 5 ^ {2}} = 0.805$$