Solve 3/5*5/13+12/13*4/5

$$\frac { 3 } { 5 } \times \frac { 5 } { 13 } + \frac { 12 } { 13 } \times \frac { 4 } { 5 }$$

Evaluate

$$\frac{63}{65}\approx 0.969230769$$

Solution Steps

Multiply \frac{3}{5} times \frac{5}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{5\times 13}+\frac{12}{13}\times \frac{4}{5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3}{13}+\frac{12}{13}\times \frac{4}{5}$$

Multiply \frac{12}{13} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{13}+\frac{12\times 4}{13\times 5}$$

Do the multiplications in the fraction \frac{12\times 4}{13\times 5}.

$$\frac{3}{13}+\frac{48}{65}$$

Least common multiple of 13 and 65 is 65. Convert \frac{3}{13} and \frac{48}{65} to fractions with denominator 65.

$$\frac{15}{65}+\frac{48}{65}$$

Since \frac{15}{65} and \frac{48}{65} have the same denominator, add them by adding their numerators.

$$\frac{15+48}{65}$$

Add 15 and 48 to get 63.

$$\frac{63}{65}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{5 \cdot 13} = 0.9692307692307692$$