Solve 9023/60-4811/12

$$90 \frac { 23 } { 60 } - 48 \frac { 11 } { 12 }$$

Evaluate

$$\frac{622}{15}\approx 41.466666667$$

Solution Steps

Multiply 90 and 60 to get 5400.

$$\frac{5400+23}{60}-\frac{48\times 12+11}{12}$$

Add 5400 and 23 to get 5423.

$$\frac{5423}{60}-\frac{48\times 12+11}{12}$$

Multiply 48 and 12 to get 576.

$$\frac{5423}{60}-\frac{576+11}{12}$$

Add 576 and 11 to get 587.

$$\frac{5423}{60}-\frac{587}{12}$$

Least common multiple of 60 and 12 is 60. Convert \frac{5423}{60} and \frac{587}{12} to fractions with denominator 60.

$$\frac{5423}{60}-\frac{2935}{60}$$

Since \frac{5423}{60} and \frac{2935}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5423-2935}{60}$$

Subtract 2935 from 5423 to get 2488.

$$\frac{2488}{60}$$

Reduce the fraction \frac{2488}{60} to lowest terms by extracting and canceling out 4.

$$\frac{622}{15}$$

Factor

$$\frac{2 \cdot 311}{3 \cdot 5} = 41\frac{7}{15} = 41.46666666666667$$