Add 49/54 and 40/45
49/54 + 40/45 is 97/54.
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,
49/54 = 49 × 5/54 × 5 = 245/270 - Likewise, for the 2nd fraction, since 45 × 6 = 270,
40/45 = 40 × 6/45 × 6 = 240/270 - Add the two like fractions:
245/270 + 240/270 = 245 + 240/270 = 485/270 - 485/270 simplified gives 97/54
- So, 49/54 + 40/45 = 97/54
In mixed form: 143/54
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