Solve H=3-3/56-3/24

$$H = 3- \frac{ 3 }{ 56 } - \frac{ 3 }{ 24 }$$

Solve for H

$$H = \frac{79}{28} = 2\frac{23}{28} \approx 2.821428571$$

Steps for Solving Linear Equation

Convert 3 to fraction \frac{168}{56}.

$$H=\frac{168}{56}-\frac{3}{56}-\frac{3}{24}$$

Since \frac{168}{56} and \frac{3}{56} have the same denominator, subtract them by subtracting their numerators.

$$H=\frac{168-3}{56}-\frac{3}{24}$$

Subtract 3 from 168 to get 165.

$$H=\frac{165}{56}-\frac{3}{24}$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$H=\frac{165}{56}-\frac{1}{8}$$

Least common multiple of 56 and 8 is 56. Convert \frac{165}{56} and \frac{1}{8} to fractions with denominator 56.

$$H=\frac{165}{56}-\frac{7}{56}$$

Since \frac{165}{56} and \frac{7}{56} have the same denominator, subtract them by subtracting their numerators.

$$H=\frac{165-7}{56}$$

Subtract 7 from 165 to get 158.

$$H=\frac{158}{56}$$

Reduce the fraction \frac{158}{56} to lowest terms by extracting and canceling out 2.

$$H=\frac{79}{28}$$

Assign H

$$H≔\frac{79}{28}$$