Solve 45/12-15/100

$$4 \frac{ 5 }{ 12 } -1 \frac{ 5 }{ 100 }$$

Evaluate

$$\frac{101}{30}\approx 3.366666667$$

Solution Steps

Multiply 4 and 12 to get 48.

$$\frac{48+5}{12}-\frac{1\times 100+5}{100}$$

Add 48 and 5 to get 53.

$$\frac{53}{12}-\frac{1\times 100+5}{100}$$

Multiply 1 and 100 to get 100.

$$\frac{53}{12}-\frac{100+5}{100}$$

Add 100 and 5 to get 105.

$$\frac{53}{12}-\frac{105}{100}$$

Reduce the fraction \frac{105}{100} to lowest terms by extracting and canceling out 5.

$$\frac{53}{12}-\frac{21}{20}$$

Least common multiple of 12 and 20 is 60. Convert \frac{53}{12} and \frac{21}{20} to fractions with denominator 60.

$$\frac{265}{60}-\frac{63}{60}$$

Since \frac{265}{60} and \frac{63}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{265-63}{60}$$

Subtract 63 from 265 to get 202.

$$\frac{202}{60}$$

Reduce the fraction \frac{202}{60} to lowest terms by extracting and canceling out 2.

$$\frac{101}{30}$$

Factor

$$\frac{101}{2 \cdot 3 \cdot 5} = 3\frac{11}{30} = 3.3666666666666667$$