Solve (411/15-17/12)

$$( 4 \frac { 11 } { 15 } - 1 \frac { 7 } { 12 } )$$

Evaluate

$$\frac{63}{20}=3.15$$

Solution Steps

Multiply 4 and 15 to get 60.

$$\frac{60+11}{15}-\frac{1\times 12+7}{12}$$

Add 60 and 11 to get 71.

$$\frac{71}{15}-\frac{1\times 12+7}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{71}{15}-\frac{12+7}{12}$$

Add 12 and 7 to get 19.

$$\frac{71}{15}-\frac{19}{12}$$

Least common multiple of 15 and 12 is 60. Convert \frac{71}{15} and \frac{19}{12} to fractions with denominator 60.

$$\frac{284}{60}-\frac{95}{60}$$

Since \frac{284}{60} and \frac{95}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{284-95}{60}$$

Subtract 95 from 284 to get 189.

$$\frac{189}{60}$$

Reduce the fraction \frac{189}{60} to lowest terms by extracting and canceling out 3.

$$\frac{63}{20}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{2 ^ {2} \cdot 5} = 3\frac{3}{20} = 3.15$$