Solve 3/8+2/9*21/16

$$\frac { 3 } { 8 } + \frac { 2 } { 9 } \cdot \frac { 21 } { 16 }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply \frac{2}{9} times \frac{21}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}+\frac{2\times 21}{9\times 16}$$

Do the multiplications in the fraction \frac{2\times 21}{9\times 16}.

$$\frac{3}{8}+\frac{42}{144}$$

Reduce the fraction \frac{42}{144} to lowest terms by extracting and canceling out 6.

$$\frac{3}{8}+\frac{7}{24}$$

Least common multiple of 8 and 24 is 24. Convert \frac{3}{8} and \frac{7}{24} to fractions with denominator 24.

$$\frac{9}{24}+\frac{7}{24}$$

Since \frac{9}{24} and \frac{7}{24} have the same denominator, add them by adding their numerators.

$$\frac{9+7}{24}$$

Add 9 and 7 to get 16.

$$\frac{16}{24}$$

Reduce the fraction \frac{16}{24} to lowest terms by extracting and canceling out 8.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$