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

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

Evaluate

$$\frac{394}{1225}\approx 0.321632653$$

Solution Steps

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

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

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

$$\frac{6}{25}+\frac{2}{7}\times \frac{2}{7}$$

Multiply \frac{2}{7} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6}{25}+\frac{2\times 2}{7\times 7}$$

Do the multiplications in the fraction \frac{2\times 2}{7\times 7}.

$$\frac{6}{25}+\frac{4}{49}$$

Least common multiple of 25 and 49 is 1225. Convert \frac{6}{25} and \frac{4}{49} to fractions with denominator 1225.

$$\frac{294}{1225}+\frac{100}{1225}$$

Since \frac{294}{1225} and \frac{100}{1225} have the same denominator, add them by adding their numerators.

$$\frac{294+100}{1225}$$

Add 294 and 100 to get 394.

$$\frac{394}{1225}$$

Factor

$$\frac{2 \cdot 197}{5 ^ {2} \cdot 7 ^ {2}} = 0.3216326530612245$$