Solve 21/18-7/12-23/24=

$$2 \frac { 1 } { 18 } - \frac { 7 } { 12 } - \frac { 23 } { 24 } =$$

Evaluate

$$\frac{37}{72}\approx 0.513888889$$

Solution Steps

Multiply 2 and 18 to get 36.

$$\frac{36+1}{18}-\frac{7}{12}-\frac{23}{24}$$

Add 36 and 1 to get 37.

$$\frac{37}{18}-\frac{7}{12}-\frac{23}{24}$$

Least common multiple of 18 and 12 is 36. Convert \frac{37}{18} and \frac{7}{12} to fractions with denominator 36.

$$\frac{74}{36}-\frac{21}{36}-\frac{23}{24}$$

Since \frac{74}{36} and \frac{21}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{74-21}{36}-\frac{23}{24}$$

Subtract 21 from 74 to get 53.

$$\frac{53}{36}-\frac{23}{24}$$

Least common multiple of 36 and 24 is 72. Convert \frac{53}{36} and \frac{23}{24} to fractions with denominator 72.

$$\frac{106}{72}-\frac{69}{72}$$

Since \frac{106}{72} and \frac{69}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{106-69}{72}$$

Subtract 69 from 106 to get 37.

$$\frac{37}{72}$$

Factor

$$\frac{37}{2 ^ {3} \cdot 3 ^ {2}} = 0.5138888888888888$$