Solve 3/4*2/5+25/7

$$\frac{ 3 }{ 4 } \times \frac{ 2 }{ 5 } + \frac{ 25 }{ 7 }$$

Evaluate

$$\frac{271}{70}\approx 3.871428571$$

Solution Steps

Multiply \frac{3}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{4\times 5}+\frac{25}{7}$$

Do the multiplications in the fraction \frac{3\times 2}{4\times 5}.

$$\frac{6}{20}+\frac{25}{7}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}+\frac{25}{7}$$

Least common multiple of 10 and 7 is 70. Convert \frac{3}{10} and \frac{25}{7} to fractions with denominator 70.

$$\frac{21}{70}+\frac{250}{70}$$

Since \frac{21}{70} and \frac{250}{70} have the same denominator, add them by adding their numerators.

$$\frac{21+250}{70}$$

Add 21 and 250 to get 271.

$$\frac{271}{70}$$

Factor

$$\frac{271}{2 \cdot 5 \cdot 7} = 3\frac{61}{70} = 3.8714285714285714$$