Add 40/54 and 24/45
40/54 + 24/45 is 172/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 45 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 54 × 5 = 270,
40/54 = 40 × 5/54 × 5 = 200/270 - Likewise, for the 2nd fraction, since 45 × 6 = 270,
24/45 = 24 × 6/45 × 6 = 144/270 - Add the two like fractions:
200/270 + 144/270 = 200 + 144/270 = 344/270 - 344/270 simplified gives 172/135
- So, 40/54 + 24/45 = 172/135
In mixed form: 137/135
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