Solve 415.12-115.6/40

$$415.12- \frac{ 115.6 }{ 40 }$$

Evaluate

$$412.23$$

Solution Steps

Expand \frac{115.6}{40} by multiplying both numerator and the denominator by 10.

$$415.12-\frac{1156}{400}$$

Reduce the fraction \frac{1156}{400} to lowest terms by extracting and canceling out 4.

$$415.12-\frac{289}{100}$$

Convert decimal number 415.12 to fraction \frac{41512}{100}. Reduce the fraction \frac{41512}{100} to lowest terms by extracting and canceling out 4.

$$\frac{10378}{25}-\frac{289}{100}$$

Least common multiple of 25 and 100 is 100. Convert \frac{10378}{25} and \frac{289}{100} to fractions with denominator 100.

$$\frac{41512}{100}-\frac{289}{100}$$

Since \frac{41512}{100} and \frac{289}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41512-289}{100}$$

Subtract 289 from 41512 to get 41223.

$$\frac{41223}{100}$$

Factor

$$\frac{3 \cdot 7 \cdot 13 \cdot 151}{2 ^ {2} \cdot 5 ^ {2}} = 412\frac{23}{100} = 412.23$$