Add 18/45 and 40/54
18/45 + 40/54 is 154/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 45 × 6 = 270,
18/45 = 18 × 6/45 × 6 = 108/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
40/54 = 40 × 5/54 × 5 = 200/270 - Add the two like fractions:
108/270 + 200/270 = 108 + 200/270 = 308/270 - 308/270 simplified gives 154/135
- So, 18/45 + 40/54 = 154/135
In mixed form: 119/135
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