Solve 11/4+32/7

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

Evaluate

$$\frac{127}{28}\approx 4.535714286$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{5}{4}+\frac{3\times 7+2}{7}$$

Multiply 3 and 7 to get 21.

$$\frac{5}{4}+\frac{21+2}{7}$$

Add 21 and 2 to get 23.

$$\frac{5}{4}+\frac{23}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{5}{4} and \frac{23}{7} to fractions with denominator 28.

$$\frac{35}{28}+\frac{92}{28}$$

Since \frac{35}{28} and \frac{92}{28} have the same denominator, add them by adding their numerators.

$$\frac{35+92}{28}$$

Add 35 and 92 to get 127.

$$\frac{127}{28}$$

Factor

$$\frac{127}{2 ^ {2} \cdot 7} = 4\frac{15}{28} = 4.535714285714286$$