Solve 6875/28-84+6875/56

$$\frac { 6875 } { 28 } - 84 + \frac { 6875 } { 56 }$$

Evaluate

$$\frac{15921}{56}\approx 284.303571429$$

Solution Steps

Convert 84 to fraction \frac{2352}{28}.

$$\frac{6875}{28}-\frac{2352}{28}+\frac{6875}{56}$$

Since \frac{6875}{28} and \frac{2352}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6875-2352}{28}+\frac{6875}{56}$$

Subtract 2352 from 6875 to get 4523.

$$\frac{4523}{28}+\frac{6875}{56}$$

Least common multiple of 28 and 56 is 56. Convert \frac{4523}{28} and \frac{6875}{56} to fractions with denominator 56.

$$\frac{9046}{56}+\frac{6875}{56}$$

Since \frac{9046}{56} and \frac{6875}{56} have the same denominator, add them by adding their numerators.

$$\frac{9046+6875}{56}$$

Add 9046 and 6875 to get 15921.

$$\frac{15921}{56}$$

Factor

$$\frac{3 ^ {2} \cdot 29 \cdot 61}{2 ^ {3} \cdot 7} = 284\frac{17}{56} = 284.30357142857144$$