Solve 21/3+5/8*16/25

$$2 \frac { 1 } { 3 } + \frac { 5 } { 8 } \cdot \frac { 16 } { 25 }$$

Evaluate

$$\frac{41}{15}\approx 2.733333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3}+\frac{5}{8}\times \frac{16}{25}$$

Add 6 and 1 to get 7.

$$\frac{7}{3}+\frac{5}{8}\times \frac{16}{25}$$

Multiply \frac{5}{8} times \frac{16}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{3}+\frac{5\times 16}{8\times 25}$$

Do the multiplications in the fraction \frac{5\times 16}{8\times 25}.

$$\frac{7}{3}+\frac{80}{200}$$

Reduce the fraction \frac{80}{200} to lowest terms by extracting and canceling out 40.

$$\frac{7}{3}+\frac{2}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{7}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{35}{15}+\frac{6}{15}$$

Since \frac{35}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{35+6}{15}$$

Add 35 and 6 to get 41.

$$\frac{41}{15}$$

Factor

$$\frac{41}{3 \cdot 5} = 2\frac{11}{15} = 2.7333333333333334$$