Solve 43/4+55/7

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

Evaluate

$$\frac{293}{28}\approx 10.464285714$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+3}{4}+\frac{5\times 7+5}{7}$$

Add 16 and 3 to get 19.

$$\frac{19}{4}+\frac{5\times 7+5}{7}$$

Multiply 5 and 7 to get 35.

$$\frac{19}{4}+\frac{35+5}{7}$$

Add 35 and 5 to get 40.

$$\frac{19}{4}+\frac{40}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{19}{4} and \frac{40}{7} to fractions with denominator 28.

$$\frac{133}{28}+\frac{160}{28}$$

Since \frac{133}{28} and \frac{160}{28} have the same denominator, add them by adding their numerators.

$$\frac{133+160}{28}$$

Add 133 and 160 to get 293.

$$\frac{293}{28}$$

Factor

$$\frac{293}{2 ^ {2} \cdot 7} = 10\frac{13}{28} = 10.464285714285714$$