Solve 32--3/4-5/24

$$32-- \frac{ 3 }{ 4 } - \frac{ 5 }{ 24 }$$

Evaluate

$$\frac{781}{24}\approx 32.541666667$$

Solution Steps

The opposite of -\frac{3}{4} is \frac{3}{4}.

$$32+\frac{3}{4}-\frac{5}{24}$$

Convert 32 to fraction \frac{128}{4}.

$$\frac{128}{4}+\frac{3}{4}-\frac{5}{24}$$

Since \frac{128}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{128+3}{4}-\frac{5}{24}$$

Add 128 and 3 to get 131.

$$\frac{131}{4}-\frac{5}{24}$$

Least common multiple of 4 and 24 is 24. Convert \frac{131}{4} and \frac{5}{24} to fractions with denominator 24.

$$\frac{786}{24}-\frac{5}{24}$$

Since \frac{786}{24} and \frac{5}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{786-5}{24}$$

Subtract 5 from 786 to get 781.

$$\frac{781}{24}$$

Factor

$$\frac{11 \cdot 71}{2 ^ {3} \cdot 3} = 32\frac{13}{24} = 32.541666666666664$$