Solve 23/7+14/9

$$2 \frac { 3 } { 7 } + 1 \frac { 4 } { 9 }$$

Evaluate

$$\frac{244}{63}\approx 3.873015873$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+3}{7}+\frac{1\times 9+4}{9}$$

Add 14 and 3 to get 17.

$$\frac{17}{7}+\frac{1\times 9+4}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{17}{7}+\frac{9+4}{9}$$

Add 9 and 4 to get 13.

$$\frac{17}{7}+\frac{13}{9}$$

Least common multiple of 7 and 9 is 63. Convert \frac{17}{7} and \frac{13}{9} to fractions with denominator 63.

$$\frac{153}{63}+\frac{91}{63}$$

Since \frac{153}{63} and \frac{91}{63} have the same denominator, add them by adding their numerators.

$$\frac{153+91}{63}$$

Add 153 and 91 to get 244.

$$\frac{244}{63}$$

Factor

$$\frac{2 ^ {2} \cdot 61}{3 ^ {2} \cdot 7} = 3\frac{55}{63} = 3.873015873015873$$