Solve 2/7+11/4

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

Evaluate

$$\frac{43}{28}\approx 1.535714286$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{2}{7}+\frac{5}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{2}{7} and \frac{5}{4} to fractions with denominator 28.

$$\frac{8}{28}+\frac{35}{28}$$

Since \frac{8}{28} and \frac{35}{28} have the same denominator, add them by adding their numerators.

$$\frac{8+35}{28}$$

Add 8 and 35 to get 43.

$$\frac{43}{28}$$

Factor

$$\frac{43}{2 ^ {2} \cdot 7} = 1\frac{15}{28} = 1.5357142857142858$$