Solve (c-2/4-47/72):1

$$( c - \frac { 2 } { 4 } - \frac { 47 } { 72 } ) : 1$$

Evaluate

$$c = -\frac{83}{72} = -1\frac{11}{72} = -1.1527777777777777$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{c-\frac{1}{2}-\frac{47}{72}}{1}$$

Least common multiple of 2 and 72 is 72. Convert -\frac{1}{2} and \frac{47}{72} to fractions with denominator 72.

$$\frac{c-\frac{36}{72}-\frac{47}{72}}{1}$$

Since -\frac{36}{72} and \frac{47}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{c+\frac{-36-47}{72}}{1}$$

Subtract 47 from -36 to get -83.

$$\frac{c-\frac{83}{72}}{1}$$

Anything divided by one gives itself.

$$c-\frac{83}{72}$$

Factor

$$\frac{72c-83}{72}$$

Solution Steps

Factor out \frac{1}{72}.

$$\frac{72c-83}{72}$$

Consider 72c-36-47. Multiply and combine like terms.

$$72c-83$$

Rewrite the complete factored expression.

$$\frac{72c-83}{72}$$