Solve 4-1/7+12/3

$$4 - \frac { 1 } { 7 } + 1 \frac { 2 } { 3 }$$

Evaluate

$$\frac{116}{21}\approx 5.523809524$$

Solution Steps

Convert 4 to fraction \frac{28}{7}.

$$\frac{28}{7}-\frac{1}{7}+\frac{1\times 3+2}{3}$$

Since \frac{28}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-1}{7}+\frac{1\times 3+2}{3}$$

Subtract 1 from 28 to get 27.

$$\frac{27}{7}+\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{27}{7}+\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{27}{7}+\frac{5}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{27}{7} and \frac{5}{3} to fractions with denominator 21.

$$\frac{81}{21}+\frac{35}{21}$$

Since \frac{81}{21} and \frac{35}{21} have the same denominator, add them by adding their numerators.

$$\frac{81+35}{21}$$

Add 81 and 35 to get 116.

$$\frac{116}{21}$$

Factor

$$\frac{2 ^ {2} \cdot 29}{3 \cdot 7} = 5\frac{11}{21} = 5.523809523809524$$