Solve 3/4+6/4*9/4

$$\frac { 3 } { 4 } + \frac { 6 } { 4 } \times \frac { 9 } { 4 }$$

Evaluate

$$\frac{33}{8}=4.125$$

Solution Steps

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}+\frac{3}{2}\times \frac{9}{4}$$

Multiply \frac{3}{2} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{4}+\frac{3\times 9}{2\times 4}$$

Do the multiplications in the fraction \frac{3\times 9}{2\times 4}.

$$\frac{3}{4}+\frac{27}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{27}{8} to fractions with denominator 8.

$$\frac{6}{8}+\frac{27}{8}$$

Since \frac{6}{8} and \frac{27}{8} have the same denominator, add them by adding their numerators.

$$\frac{6+27}{8}$$

Add 6 and 27 to get 33.

$$\frac{33}{8}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {3}} = 4\frac{1}{8} = 4.125$$