Solve 78/25*2+985%

$$\frac{ 78 }{ 25 \times 2 } +985 \%$$

Evaluate

$$\frac{1141}{100}=11.41$$

Solution Steps

Multiply 25 and 2 to get 50.

$$\frac{78}{50}+\frac{985}{100}$$

Reduce the fraction \frac{78}{50} to lowest terms by extracting and canceling out 2.

$$\frac{39}{25}+\frac{985}{100}$$

Reduce the fraction \frac{985}{100} to lowest terms by extracting and canceling out 5.

$$\frac{39}{25}+\frac{197}{20}$$

Least common multiple of 25 and 20 is 100. Convert \frac{39}{25} and \frac{197}{20} to fractions with denominator 100.

$$\frac{156}{100}+\frac{985}{100}$$

Since \frac{156}{100} and \frac{985}{100} have the same denominator, add them by adding their numerators.

$$\frac{156+985}{100}$$

Add 156 and 985 to get 1141.

$$\frac{1141}{100}$$

Factor

$$\frac{7 \cdot 163}{2 ^ {2} \cdot 5 ^ {2}} = 11\frac{41}{100} = 11.41$$