Solve fleft(2/7-5/8right)

$$f \left( \frac{ 2 }{ 7 } - \frac{ 5 }{ 8 } \right)$$

Evaluate

$$-\frac{19f}{56}$$

Solution Steps

Least common multiple of 7 and 8 is 56. Convert \frac{2}{7} and \frac{5}{8} to fractions with denominator 56.

$$f\left(\frac{16}{56}-\frac{35}{56}\right)$$

Since \frac{16}{56} and \frac{35}{56} have the same denominator, subtract them by subtracting their numerators.

$$f\times \frac{16-35}{56}$$

Subtract 35 from 16 to get -19.

$$f\left(-\frac{19}{56}\right)$$

Expand

$$-\frac{19f}{56}$$

Solution Steps

Least common multiple of 7 and 8 is 56. Convert \frac{2}{7} and \frac{5}{8} to fractions with denominator 56.

$$f\left(\frac{16}{56}-\frac{35}{56}\right)$$

Since \frac{16}{56} and \frac{35}{56} have the same denominator, subtract them by subtracting their numerators.

$$f\times \frac{16-35}{56}$$

Subtract 35 from 16 to get -19.

$$f\left(-\frac{19}{56}\right)$$