Solve 501/5-471/24

$$50 \frac { 1 } { 5 } - 47 \frac { 1 } { 24 }$$

Evaluate

$$\frac{379}{120}\approx 3.158333333$$

Solution Steps

Multiply 50 and 5 to get 250.

$$\frac{250+1}{5}-\frac{47\times 24+1}{24}$$

Add 250 and 1 to get 251.

$$\frac{251}{5}-\frac{47\times 24+1}{24}$$

Multiply 47 and 24 to get 1128.

$$\frac{251}{5}-\frac{1128+1}{24}$$

Add 1128 and 1 to get 1129.

$$\frac{251}{5}-\frac{1129}{24}$$

Least common multiple of 5 and 24 is 120. Convert \frac{251}{5} and \frac{1129}{24} to fractions with denominator 120.

$$\frac{6024}{120}-\frac{5645}{120}$$

Since \frac{6024}{120} and \frac{5645}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6024-5645}{120}$$

Subtract 5645 from 6024 to get 379.

$$\frac{379}{120}$$

Factor

$$\frac{379}{2 ^ {3} \cdot 3 \cdot 5} = 3\frac{19}{120} = 3.158333333333333$$