Solve 223/24-23/21

$$2 \frac { 23 } { 24 } - \frac { 23 } { 21 }$$

Evaluate

$$\frac{313}{168}\approx 1.863095238$$

Solution Steps

Multiply 2 and 24 to get 48.

$$\frac{48+23}{24}-\frac{23}{21}$$

Add 48 and 23 to get 71.

$$\frac{71}{24}-\frac{23}{21}$$

Least common multiple of 24 and 21 is 168. Convert \frac{71}{24} and \frac{23}{21} to fractions with denominator 168.

$$\frac{497}{168}-\frac{184}{168}$$

Since \frac{497}{168} and \frac{184}{168} have the same denominator, subtract them by subtracting their numerators.

$$\frac{497-184}{168}$$

Subtract 184 from 497 to get 313.

$$\frac{313}{168}$$

Factor

$$\frac{313}{2 ^ {3} \cdot 3 \cdot 7} = 1\frac{145}{168} = 1.8630952380952381$$