Solve 373/99div25/90

$$3 \frac { 73 } { 99 } \div 2 \frac { 5 } { 90 }$$

Evaluate

$$\frac{20}{11}\approx 1.818181818$$

Solution Steps

Divide \frac{3\times 99+73}{99} by \frac{2\times 90+5}{90} by multiplying \frac{3\times 99+73}{99} by the reciprocal of \frac{2\times 90+5}{90}.

$$\frac{\left(3\times 99+73\right)\times 90}{99\left(2\times 90+5\right)}$$

Cancel out 9 in both numerator and denominator.

$$\frac{10\left(73+3\times 99\right)}{11\left(5+2\times 90\right)}$$

Multiply 3 and 99 to get 297.

$$\frac{10\left(73+297\right)}{11\left(5+2\times 90\right)}$$

Add 73 and 297 to get 370.

$$\frac{10\times 370}{11\left(5+2\times 90\right)}$$

Multiply 10 and 370 to get 3700.

$$\frac{3700}{11\left(5+2\times 90\right)}$$

Multiply 2 and 90 to get 180.

$$\frac{3700}{11\left(5+180\right)}$$

Add 5 and 180 to get 185.

$$\frac{3700}{11\times 185}$$

Multiply 11 and 185 to get 2035.

$$\frac{3700}{2035}$$

Reduce the fraction \frac{3700}{2035} to lowest terms by extracting and canceling out 185.

$$\frac{20}{11}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{11} = 1\frac{9}{11} = 1.8181818181818181$$