Solve 211/4+62/7

$$21 \frac { 1 } { 4 } + 6 \frac { 2 } { 7 }$$

Evaluate

$$\frac{771}{28}\approx 27.535714286$$

Solution Steps

Multiply 21 and 4 to get 84.

$$\frac{84+1}{4}+\frac{6\times 7+2}{7}$$

Add 84 and 1 to get 85.

$$\frac{85}{4}+\frac{6\times 7+2}{7}$$

Multiply 6 and 7 to get 42.

$$\frac{85}{4}+\frac{42+2}{7}$$

Add 42 and 2 to get 44.

$$\frac{85}{4}+\frac{44}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{85}{4} and \frac{44}{7} to fractions with denominator 28.

$$\frac{595}{28}+\frac{176}{28}$$

Since \frac{595}{28} and \frac{176}{28} have the same denominator, add them by adding their numerators.

$$\frac{595+176}{28}$$

Add 595 and 176 to get 771.

$$\frac{771}{28}$$

Factor

$$\frac{3 \cdot 257}{2 ^ {2} \cdot 7} = 27\frac{15}{28} = 27.535714285714285$$