Solve -54/7+25/14=

$$- 5 \frac { 4 } { 7 } + 2 \frac { 5 } { 14 } =$$

Evaluate

$$-\frac{45}{14}\approx -3.214285714$$

Solution Steps

Multiply 5 and 7 to get 35.

$$-\frac{35+4}{7}+\frac{2\times 14+5}{14}$$

Add 35 and 4 to get 39.

$$-\frac{39}{7}+\frac{2\times 14+5}{14}$$

Multiply 2 and 14 to get 28.

$$-\frac{39}{7}+\frac{28+5}{14}$$

Add 28 and 5 to get 33.

$$-\frac{39}{7}+\frac{33}{14}$$

Least common multiple of 7 and 14 is 14. Convert -\frac{39}{7} and \frac{33}{14} to fractions with denominator 14.

$$-\frac{78}{14}+\frac{33}{14}$$

Since -\frac{78}{14} and \frac{33}{14} have the same denominator, add them by adding their numerators.

$$\frac{-78+33}{14}$$

Add -78 and 33 to get -45.

$$-\frac{45}{14}$$

Factor

$$-\frac{45}{14} = -3\frac{3}{14} = -3.2142857142857144$$