Solve 3/5*2/5+7/10

$$\frac { 3 } { 5 } \times \frac { 2 } { 5 } + \frac { 7 } { 10 }$$

Evaluate

$$\frac{47}{50}=0.94$$

Solution Steps

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

$$\frac{3\times 2}{5\times 5}+\frac{7}{10}$$

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

$$\frac{6}{25}+\frac{7}{10}$$

Least common multiple of 25 and 10 is 50. Convert \frac{6}{25} and \frac{7}{10} to fractions with denominator 50.

$$\frac{12}{50}+\frac{35}{50}$$

Since \frac{12}{50} and \frac{35}{50} have the same denominator, add them by adding their numerators.

$$\frac{12+35}{50}$$

Add 12 and 35 to get 47.

$$\frac{47}{50}$$

Factor

$$\frac{47}{2 \cdot 5 ^ {2}} = 0.94$$