Solve 43/5+quad1/6

$$4 \frac { 3 } { 5 } + \quad \frac { 1 } { 6 }$$

Evaluate

$$\frac{143}{30}\approx 4.766666667$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+3}{5}+\frac{1}{6}$$

Add 20 and 3 to get 23.

$$\frac{23}{5}+\frac{1}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{23}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{138}{30}+\frac{5}{30}$$

Since \frac{138}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{138+5}{30}$$

Add 138 and 5 to get 143.

$$\frac{143}{30}$$

Factor

$$\frac{11 \cdot 13}{2 \cdot 3 \cdot 5} = 4\frac{23}{30} = 4.766666666666667$$