Solve 9/16div33/4

$$\frac { 9 } { 16 } \div 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{3}{20}=0.15$$

Solution Steps

Divide \frac{9}{16} by \frac{3\times 4+3}{4} by multiplying \frac{9}{16} by the reciprocal of \frac{3\times 4+3}{4}.

$$\frac{9\times 4}{16\left(3\times 4+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{9}{4\left(3+3\times 4\right)}$$

Multiply 3 and 4 to get 12.

$$\frac{9}{4\left(3+12\right)}$$

Add 3 and 12 to get 15.

$$\frac{9}{4\times 15}$$

Multiply 4 and 15 to get 60.

$$\frac{9}{60}$$

Reduce the fraction \frac{9}{60} to lowest terms by extracting and canceling out 3.

$$\frac{3}{20}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 5} = 0.15$$