Solve 2/3*5/15+16*2/14=

$$\frac { 2 } { 3 } \times \frac { 5 } { 15 } + 16 \times \frac { 2 } { 14 } =$$

Evaluate

$$\frac{158}{63}\approx 2.507936508$$

Solution Steps

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$\frac{2}{3}\times \frac{1}{3}+16\times \frac{2}{14}$$

Multiply \frac{2}{3} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{3\times 3}+16\times \frac{2}{14}$$

Do the multiplications in the fraction \frac{2\times 1}{3\times 3}.

$$\frac{2}{9}+16\times \frac{2}{14}$$

Reduce the fraction \frac{2}{14} to lowest terms by extracting and canceling out 2.

$$\frac{2}{9}+16\times \frac{1}{7}$$

Multiply 16 and \frac{1}{7} to get \frac{16}{7}.

$$\frac{2}{9}+\frac{16}{7}$$

Least common multiple of 9 and 7 is 63. Convert \frac{2}{9} and \frac{16}{7} to fractions with denominator 63.

$$\frac{14}{63}+\frac{144}{63}$$

Since \frac{14}{63} and \frac{144}{63} have the same denominator, add them by adding their numerators.

$$\frac{14+144}{63}$$

Add 14 and 144 to get 158.

$$\frac{158}{63}$$

Factor

$$\frac{2 \cdot 79}{3 ^ {2} \cdot 7} = 2\frac{32}{63} = 2.507936507936508$$