Solve 25/18-123/27

$$2 \frac { 5 } { 18 } - 1 \frac { 23 } { 27 }$$

Evaluate

$$\frac{23}{54}\approx 0.425925926$$

Solution Steps

Multiply 2 and 18 to get 36.

$$\frac{36+5}{18}-\frac{1\times 27+23}{27}$$

Add 36 and 5 to get 41.

$$\frac{41}{18}-\frac{1\times 27+23}{27}$$

Multiply 1 and 27 to get 27.

$$\frac{41}{18}-\frac{27+23}{27}$$

Add 27 and 23 to get 50.

$$\frac{41}{18}-\frac{50}{27}$$

Least common multiple of 18 and 27 is 54. Convert \frac{41}{18} and \frac{50}{27} to fractions with denominator 54.

$$\frac{123}{54}-\frac{100}{54}$$

Since \frac{123}{54} and \frac{100}{54} have the same denominator, subtract them by subtracting their numerators.

$$\frac{123-100}{54}$$

Subtract 100 from 123 to get 23.

$$\frac{23}{54}$$

Factor

$$\frac{23}{2 \cdot 3 ^ {3}} = 0.42592592592592593$$