Solve 125/12-43/4

$$12 \frac{ 5 }{ 12 } -4 \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{23}{3}\approx 7.666666667$$

Solution Steps

Multiply 12 and 12 to get 144.

$$\frac{144+5}{12}-\frac{4\times 4+3}{4}$$

Add 144 and 5 to get 149.

$$\frac{149}{12}-\frac{4\times 4+3}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{149}{12}-\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{149}{12}-\frac{19}{4}$$

Least common multiple of 12 and 4 is 12. Convert \frac{149}{12} and \frac{19}{4} to fractions with denominator 12.

$$\frac{149}{12}-\frac{57}{12}$$

Since \frac{149}{12} and \frac{57}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{149-57}{12}$$

Subtract 57 from 149 to get 92.

$$\frac{92}{12}$$

Reduce the fraction \frac{92}{12} to lowest terms by extracting and canceling out 4.

$$\frac{23}{3}$$

Factor

$$\frac{23}{3} = 7\frac{2}{3} = 7.666666666666667$$