Solve 200(1+0.25)/1000(1+0.2)

$$\frac { 200 ( 1 + 0.25 ) } { 1000 ( 1 + 0.2 ) }$$

Evaluate

$$\frac{5}{24}\approx 0.208333333$$

Solution Steps

Cancel out 200 in both numerator and denominator.

$$\frac{0.25+1}{5\left(0.2+1\right)}$$

Add 0.25 and 1 to get 1.25.

$$\frac{1.25}{5\left(0.2+1\right)}$$

Add 0.2 and 1 to get 1.2.

$$\frac{1.25}{5\times 1.2}$$

Multiply 5 and 1.2 to get 6.

$$\frac{1.25}{6}$$

Expand \frac{1.25}{6} by multiplying both numerator and the denominator by 100.

$$\frac{125}{600}$$

Reduce the fraction \frac{125}{600} to lowest terms by extracting and canceling out 25.

$$\frac{5}{24}$$

Factor

$$\frac{5}{3 \cdot 2 ^ {3}} = 0.20833333333333334$$