Solve 21/7+11/4

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

Evaluate

$$\frac{95}{28}\approx 3.392857143$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+1}{7}+\frac{1\times 4+1}{4}$$

Add 14 and 1 to get 15.

$$\frac{15}{7}+\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{15}{7}+\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{15}{7}+\frac{5}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{15}{7} and \frac{5}{4} to fractions with denominator 28.

$$\frac{60}{28}+\frac{35}{28}$$

Since \frac{60}{28} and \frac{35}{28} have the same denominator, add them by adding their numerators.

$$\frac{60+35}{28}$$

Add 60 and 35 to get 95.

$$\frac{95}{28}$$

Factor

$$\frac{5 \cdot 19}{2 ^ {2} \cdot 7} = 3\frac{11}{28} = 3.392857142857143$$