Solve |-(-3/-7)|text{an}41-3/8

$$| - ( \frac { - 3 } { - 7 } ) | \text { an } 41 - \frac { 3 } { 8 }$$

Evaluate

$$\frac{123an}{7}-\frac{3}{8}$$

Solution Steps

Fraction \frac{-3}{-7} can be simplified to \frac{3}{7} by removing the negative sign from both the numerator and the denominator.

$$|-\frac{3}{7}|an\times 41-\frac{3}{8}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{3}{7} is \frac{3}{7}.

$$\frac{3}{7}an\times 41-\frac{3}{8}$$

Express \frac{3}{7}\times 41 as a single fraction.

$$\frac{3\times 41}{7}an-\frac{3}{8}$$

Multiply 3 and 41 to get 123.

$$\frac{123}{7}an-\frac{3}{8}$$

Factor

$$\frac{3\left(328an-7\right)}{56}$$

Solution Steps

Factor out \frac{1}{8}.

$$\frac{\frac{984}{7}an-3}{8}$$

Consider \frac{984}{7}an-3. Factor out \frac{3}{7}.

$$\frac{3\left(328an-7\right)}{7}$$

Rewrite the complete factored expression.

$$\frac{\frac{3}{7}\left(328an-7\right)}{8}$$

Simplify.

$$\frac{3\left(328an-7\right)}{56}$$