Solve (5.64+20.89)div220*2.5

$$(5.64+20.89) \div 220 \times 2.5$$

Evaluate

$$\frac{2653}{8800}\approx 0.301477273$$

Solution Steps

Add 5.64 and 20.89 to get 26.53.

$$\frac{26.53}{220}\times 2.5$$

Expand \frac{26.53}{220} by multiplying both numerator and the denominator by 100.

$$\frac{2653}{22000}\times 2.5$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{2653}{22000}\times \frac{5}{2}$$

Multiply \frac{2653}{22000} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2653\times 5}{22000\times 2}$$

Do the multiplications in the fraction \frac{2653\times 5}{22000\times 2}.

$$\frac{13265}{44000}$$

Reduce the fraction \frac{13265}{44000} to lowest terms by extracting and canceling out 5.

$$\frac{2653}{8800}$$

Factor

$$\frac{7 \cdot 379}{11 \cdot 2 ^ {5} \cdot 5 ^ {2}} = 0.3014772727272727$$