Solve 3/4+(5/3*1/5)

$$\frac { 3 } { 4 } + ( \frac { 5 } { 3 } \times \frac { 1 } { 5 } )$$

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

Multiply \frac{5}{3} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{4}+\frac{5\times 1}{3\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3}{4}+\frac{1}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{9}{12}+\frac{4}{12}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{12}$$

Add 9 and 4 to get 13.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$