Add 40/54 and 40/45
40/54 + 40/45 is 44/27.
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,
40/45 = 40 × 6/45 × 6 = 240/270 - Add the two like fractions:
200/270 + 240/270 = 200 + 240/270 = 440/270 - 440/270 simplified gives 44/27
- So, 40/54 + 40/45 = 44/27
In mixed form: 117/27
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