Solve 3/8+9/8*4/3

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

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Multiply \frac{9}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{9\times 4}{8\times 3}.

$$\frac{3}{8}+\frac{36}{24}$$

Reduce the fraction \frac{36}{24} to lowest terms by extracting and canceling out 12.

$$\frac{3}{8}+\frac{3}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{3}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{3}{8}+\frac{12}{8}$$

Since \frac{3}{8} and \frac{12}{8} have the same denominator, add them by adding their numerators.

$$\frac{3+12}{8}$$

Add 3 and 12 to get 15.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$