Solve 1/2+11/3div1/5

$$\frac { 1 } { 2 } + 1 \frac { 1 } { 3 } \div \frac { 1 } { 5 }$$

Evaluate

$$\frac{43}{6}\approx 7.166666667$$

Solution Steps

Divide \frac{1\times 3+1}{3} by \frac{1}{5} by multiplying \frac{1\times 3+1}{3} by the reciprocal of \frac{1}{5}.

$$\frac{1}{2}+\frac{\left(1\times 3+1\right)\times 5}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{1}{2}+\frac{\left(3+1\right)\times 5}{3}$$

Add 3 and 1 to get 4.

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

Multiply 4 and 5 to get 20.

$$\frac{1}{2}+\frac{20}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{20}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{40}{6}$$

Since \frac{3}{6} and \frac{40}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+40}{6}$$

Add 3 and 40 to get 43.

$$\frac{43}{6}$$

Factor

$$\frac{43}{2 \cdot 3} = 7\frac{1}{6} = 7.166666666666667$$