Solve 25/36div12/9=

$$2 \frac { 5 } { 36 } \div 1 \frac { 2 } { 9 } =$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Divide \frac{2\times 36+5}{36} by \frac{1\times 9+2}{9} by multiplying \frac{2\times 36+5}{36} by the reciprocal of \frac{1\times 9+2}{9}.

$$\frac{\left(2\times 36+5\right)\times 9}{36\left(1\times 9+2\right)}$$

Cancel out 9 in both numerator and denominator.

$$\frac{5+2\times 36}{4\left(2+9\right)}$$

Multiply 2 and 36 to get 72.

$$\frac{5+72}{4\left(2+9\right)}$$

Add 5 and 72 to get 77.

$$\frac{77}{4\left(2+9\right)}$$

Add 2 and 9 to get 11.

$$\frac{77}{4\times 11}$$

Multiply 4 and 11 to get 44.

$$\frac{77}{44}$$

Reduce the fraction \frac{77}{44} to lowest terms by extracting and canceling out 11.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$