Solve 3/2*2/5+4/9*8/7=

$$\frac { 3 } { 2 } \cdot \frac { 2 } { 5 } + \frac { 4 } { 9 } \cdot \frac { 8 } { 7 } =$$

Evaluate

$$\frac{349}{315}\approx 1.107936508$$

Solution Steps

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

$$\frac{3\times 2}{2\times 5}+\frac{4}{9}\times \frac{8}{7}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3}{5}+\frac{4}{9}\times \frac{8}{7}$$

Multiply \frac{4}{9} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{5}+\frac{4\times 8}{9\times 7}$$

Do the multiplications in the fraction \frac{4\times 8}{9\times 7}.

$$\frac{3}{5}+\frac{32}{63}$$

Least common multiple of 5 and 63 is 315. Convert \frac{3}{5} and \frac{32}{63} to fractions with denominator 315.

$$\frac{189}{315}+\frac{160}{315}$$

Since \frac{189}{315} and \frac{160}{315} have the same denominator, add them by adding their numerators.

$$\frac{189+160}{315}$$

Add 189 and 160 to get 349.

$$\frac{349}{315}$$

Factor

$$\frac{349}{3 ^ {2} \cdot 5 \cdot 7} = 1\frac{34}{315} = 1.107936507936508$$