Solve 127/28-(-4-23/28)

$$1 \frac { 27 } { 28 } - ( - 4 - \frac { 23 } { 28 } )$$

Evaluate

$$\frac{95}{14}\approx 6.785714286$$

Solution Steps

Multiply 1 and 28 to get 28.

$$\frac{28+27}{28}-\left(-4-\frac{23}{28}\right)$$

Add 28 and 27 to get 55.

$$\frac{55}{28}-\left(-4-\frac{23}{28}\right)$$

Convert -4 to fraction -\frac{112}{28}.

$$\frac{55}{28}-\left(-\frac{112}{28}-\frac{23}{28}\right)$$

Since -\frac{112}{28} and \frac{23}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55}{28}-\frac{-112-23}{28}$$

Subtract 23 from -112 to get -135.

$$\frac{55}{28}-\left(-\frac{135}{28}\right)$$

The opposite of -\frac{135}{28} is \frac{135}{28}.

$$\frac{55}{28}+\frac{135}{28}$$

Since \frac{55}{28} and \frac{135}{28} have the same denominator, add them by adding their numerators.

$$\frac{55+135}{28}$$

Add 55 and 135 to get 190.

$$\frac{190}{28}$$

Reduce the fraction \frac{190}{28} to lowest terms by extracting and canceling out 2.

$$\frac{95}{14}$$

Factor

$$\frac{5 \cdot 19}{2 \cdot 7} = 6\frac{11}{14} = 6.785714285714286$$