Solve 35/36div33/20=

$$\frac { 35 } { 36 } \div 3 \frac { 3 } { 20 } =$$

Evaluate

$$\frac{25}{81}\approx 0.308641975$$

Solution Steps

Divide \frac{35}{36} by \frac{3\times 20+3}{20} by multiplying \frac{35}{36} by the reciprocal of \frac{3\times 20+3}{20}.

$$\frac{35\times 20}{36\left(3\times 20+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{5\times 35}{9\left(3+3\times 20\right)}$$

Multiply 5 and 35 to get 175.

$$\frac{175}{9\left(3+3\times 20\right)}$$

Multiply 3 and 20 to get 60.

$$\frac{175}{9\left(3+60\right)}$$

Add 3 and 60 to get 63.

$$\frac{175}{9\times 63}$$

Multiply 9 and 63 to get 567.

$$\frac{175}{567}$$

Reduce the fraction \frac{175}{567} to lowest terms by extracting and canceling out 7.

$$\frac{25}{81}$$

Factor

$$\frac{5 ^ {2}}{3 ^ {4}} = 0.30864197530864196$$