Solve 151/5+254/6-127

$$\frac { 151 } { 5 } + \frac { 254 } { 6 } - 127$$

Evaluate

$$-\frac{817}{15}\approx -54.466666667$$

Solution Steps

Reduce the fraction \frac{254}{6} to lowest terms by extracting and canceling out 2.

$$\frac{151}{5}+\frac{127}{3}-127$$

Least common multiple of 5 and 3 is 15. Convert \frac{151}{5} and \frac{127}{3} to fractions with denominator 15.

$$\frac{453}{15}+\frac{635}{15}-127$$

Since \frac{453}{15} and \frac{635}{15} have the same denominator, add them by adding their numerators.

$$\frac{453+635}{15}-127$$

Add 453 and 635 to get 1088.

$$\frac{1088}{15}-127$$

Convert 127 to fraction \frac{1905}{15}.

$$\frac{1088}{15}-\frac{1905}{15}$$

Since \frac{1088}{15} and \frac{1905}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1088-1905}{15}$$

Subtract 1905 from 1088 to get -817.

$$-\frac{817}{15}$$

Factor

$$-\frac{817}{15} = -54\frac{7}{15} = -54.46666666666667$$