Solve 34/3-51/2+6

$$3 \frac { 4 } { 3 } - 5 \frac { 1 } { 2 } + 6$$

Evaluate

$$\frac{29}{6}\approx 4.833333333$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+4}{3}-\frac{5\times 2+1}{2}+6$$

Add 9 and 4 to get 13.

$$\frac{13}{3}-\frac{5\times 2+1}{2}+6$$

Multiply 5 and 2 to get 10.

$$\frac{13}{3}-\frac{10+1}{2}+6$$

Add 10 and 1 to get 11.

$$\frac{13}{3}-\frac{11}{2}+6$$

Least common multiple of 3 and 2 is 6. Convert \frac{13}{3} and \frac{11}{2} to fractions with denominator 6.

$$\frac{26}{6}-\frac{33}{6}+6$$

Since \frac{26}{6} and \frac{33}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-33}{6}+6$$

Subtract 33 from 26 to get -7.

$$-\frac{7}{6}+6$$

Convert 6 to fraction \frac{36}{6}.

$$-\frac{7}{6}+\frac{36}{6}$$

Since -\frac{7}{6} and \frac{36}{6} have the same denominator, add them by adding their numerators.

$$\frac{-7+36}{6}$$

Add -7 and 36 to get 29.

$$\frac{29}{6}$$

Factor

$$\frac{29}{2 \cdot 3} = 4\frac{5}{6} = 4.833333333333333$$