Solve 100*22div625+200div250+300*22div625+4

$$100 \times 22 \div 625+200 \div 250+300 \times 22 \div 625+4$$

Evaluate

$$\frac{472}{25}=18.88$$

Solution Steps

Multiply 100 and 22 to get 2200.

$$\frac{2200}{625}+\frac{200}{250}+\frac{300\times 22}{625}+4$$

Reduce the fraction \frac{2200}{625} to lowest terms by extracting and canceling out 25.

$$\frac{88}{25}+\frac{200}{250}+\frac{300\times 22}{625}+4$$

Reduce the fraction \frac{200}{250} to lowest terms by extracting and canceling out 50.

$$\frac{88}{25}+\frac{4}{5}+\frac{300\times 22}{625}+4$$

Least common multiple of 25 and 5 is 25. Convert \frac{88}{25} and \frac{4}{5} to fractions with denominator 25.

$$\frac{88}{25}+\frac{20}{25}+\frac{300\times 22}{625}+4$$

Since \frac{88}{25} and \frac{20}{25} have the same denominator, add them by adding their numerators.

$$\frac{88+20}{25}+\frac{300\times 22}{625}+4$$

Add 88 and 20 to get 108.

$$\frac{108}{25}+\frac{300\times 22}{625}+4$$

Multiply 300 and 22 to get 6600.

$$\frac{108}{25}+\frac{6600}{625}+4$$

Reduce the fraction \frac{6600}{625} to lowest terms by extracting and canceling out 25.

$$\frac{108}{25}+\frac{264}{25}+4$$

Since \frac{108}{25} and \frac{264}{25} have the same denominator, add them by adding their numerators.

$$\frac{108+264}{25}+4$$

Add 108 and 264 to get 372.

$$\frac{372}{25}+4$$

Convert 4 to fraction \frac{100}{25}.

$$\frac{372}{25}+\frac{100}{25}$$

Since \frac{372}{25} and \frac{100}{25} have the same denominator, add them by adding their numerators.

$$\frac{372+100}{25}$$

Add 372 and 100 to get 472.

$$\frac{472}{25}$$

Factor

$$\frac{2 ^ {3} \cdot 59}{5 ^ {2}} = 18\frac{22}{25} = 18.88$$