Solve 6875/14-84-6875/56

$$\frac{ 6875 }{ 14 } -84- \frac{ 6875 }{ 56 }$$

Evaluate

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

Solution Steps

Convert 84 to fraction \frac{1176}{14}.

$$\frac{6875}{14}-\frac{1176}{14}-\frac{6875}{56}$$

Since \frac{6875}{14} and \frac{1176}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6875-1176}{14}-\frac{6875}{56}$$

Subtract 1176 from 6875 to get 5699.

$$\frac{5699}{14}-\frac{6875}{56}$$

Least common multiple of 14 and 56 is 56. Convert \frac{5699}{14} and \frac{6875}{56} to fractions with denominator 56.

$$\frac{22796}{56}-\frac{6875}{56}$$

Since \frac{22796}{56} and \frac{6875}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22796-6875}{56}$$

Subtract 6875 from 22796 to get 15921.

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

Factor

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