Solve -31/2+46/13

$$- 3 \frac { 1 } { 2 } + 4 \frac { 6 } { 13 }$$

Evaluate

$$\frac{25}{26}\approx 0.961538462$$

Solution Steps

Multiply 3 and 2 to get 6.

$$-\frac{6+1}{2}+\frac{4\times 13+6}{13}$$

Add 6 and 1 to get 7.

$$-\frac{7}{2}+\frac{4\times 13+6}{13}$$

Multiply 4 and 13 to get 52.

$$-\frac{7}{2}+\frac{52+6}{13}$$

Add 52 and 6 to get 58.

$$-\frac{7}{2}+\frac{58}{13}$$

Least common multiple of 2 and 13 is 26. Convert -\frac{7}{2} and \frac{58}{13} to fractions with denominator 26.

$$-\frac{91}{26}+\frac{116}{26}$$

Since -\frac{91}{26} and \frac{116}{26} have the same denominator, add them by adding their numerators.

$$\frac{-91+116}{26}$$

Add -91 and 116 to get 25.

$$\frac{25}{26}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 13} = 0.9615384615384616$$