Solve 33/4+52/7

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

Evaluate

$$\frac{253}{28}\approx 9.035714286$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}+\frac{5\times 7+2}{7}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}+\frac{5\times 7+2}{7}$$

Multiply 5 and 7 to get 35.

$$\frac{15}{4}+\frac{35+2}{7}$$

Add 35 and 2 to get 37.

$$\frac{15}{4}+\frac{37}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{15}{4} and \frac{37}{7} to fractions with denominator 28.

$$\frac{105}{28}+\frac{148}{28}$$

Since \frac{105}{28} and \frac{148}{28} have the same denominator, add them by adding their numerators.

$$\frac{105+148}{28}$$

Add 105 and 148 to get 253.

$$\frac{253}{28}$$

Factor

$$\frac{11 \cdot 23}{2 ^ {2} \cdot 7} = 9\frac{1}{28} = 9.035714285714286$$