Add 49/45 and 10/54
1st number: 1 4/45, 2nd number: 10/54
49/45 + 10/54 is 172/135.
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,
49/45 = 49 × 6/45 × 6 = 294/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
10/54 = 10 × 5/54 × 5 = 50/270 - Add the two like fractions:
294/270 + 50/270 = 294 + 50/270 = 344/270 - 344/270 simplified gives 172/135
- So, 49/45 + 10/54 = 172/135
In mixed form: 137/135
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