Add 27/45 and 40/54
27/45 + 40/54 is 181/135.
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,
27/45 = 27 × 6/45 × 6 = 162/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
40/54 = 40 × 5/54 × 5 = 200/270 - Add the two like fractions:
162/270 + 200/270 = 162 + 200/270 = 362/270 - 362/270 simplified gives 181/135
- So, 27/45 + 40/54 = 181/135
In mixed form: 146/135
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