Solve 1-48/25/frac{47{25}}

$$\frac { 1 - \frac { 48 } { 25 } } { \frac { 47 } { 25 } }$$

Evaluate

$$-\frac{23}{47}\approx -0.489361702$$

Solution Steps

Convert 1 to fraction \frac{25}{25}.

$$\frac{\frac{25}{25}-\frac{48}{25}}{\frac{47}{25}}$$

Since \frac{25}{25} and \frac{48}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{25-48}{25}}{\frac{47}{25}}$$

Subtract 48 from 25 to get -23.

$$\frac{-\frac{23}{25}}{\frac{47}{25}}$$

Divide -\frac{23}{25} by \frac{47}{25} by multiplying -\frac{23}{25} by the reciprocal of \frac{47}{25}.

$$-\frac{23}{25}\times \frac{25}{47}$$

Multiply -\frac{23}{25} times \frac{25}{47} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-23\times 25}{25\times 47}$$

Cancel out 25 in both numerator and denominator.

$$\frac{-23}{47}$$

Fraction \frac{-23}{47} can be rewritten as -\frac{23}{47} by extracting the negative sign.

$$-\frac{23}{47}$$

Factor

$$-\frac{23}{47} = -0.48936170212765956$$