Solve 5/12*1/5+3/25

$$\frac { 5 } { 12 } \cdot \frac { 1 } { 5 } + \frac { 3 } { 25 }$$

Evaluate

$$\frac{61}{300}\approx 0.203333333$$

Solution Steps

Multiply \frac{5}{12} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{12\times 5}+\frac{3}{25}$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{12}+\frac{3}{25}$$

Least common multiple of 12 and 25 is 300. Convert \frac{1}{12} and \frac{3}{25} to fractions with denominator 300.

$$\frac{25}{300}+\frac{36}{300}$$

Since \frac{25}{300} and \frac{36}{300} have the same denominator, add them by adding their numerators.

$$\frac{25+36}{300}$$

Add 25 and 36 to get 61.

$$\frac{61}{300}$$

Factor

$$\frac{61}{2 ^ {2} \cdot 3 \cdot 5 ^ {2}} = 0.20333333333333334$$