Solve -7.9-(-55/12)

$$-7.9-(- 5 \frac { 5 } { 12 } )$$

Evaluate

$$-\frac{149}{60}\approx -2.483333333$$

Solution Steps

Multiply 5 and 12 to get 60.

$$-7.9-\left(-\frac{60+5}{12}\right)$$

Add 60 and 5 to get 65.

$$-7.9-\left(-\frac{65}{12}\right)$$

The opposite of -\frac{65}{12} is \frac{65}{12}.

$$-7.9+\frac{65}{12}$$

Convert decimal number -7.9 to fraction -\frac{79}{10}.

$$-\frac{79}{10}+\frac{65}{12}$$

Least common multiple of 10 and 12 is 60. Convert -\frac{79}{10} and \frac{65}{12} to fractions with denominator 60.

$$-\frac{474}{60}+\frac{325}{60}$$

Since -\frac{474}{60} and \frac{325}{60} have the same denominator, add them by adding their numerators.

$$\frac{-474+325}{60}$$

Add -474 and 325 to get -149.

$$-\frac{149}{60}$$

Factor

$$-\frac{149}{60} = -2\frac{29}{60} = -2.4833333333333334$$