Add 49/60 and 54/63
49/60 + 54/63 is 703/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 63 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 60 × 21 = 1260,
49/60 = 49 × 21/60 × 21 = 1029/1260 - Likewise, for the 2nd fraction, since 63 × 20 = 1260,
54/63 = 54 × 20/63 × 20 = 1080/1260 - Add the two like fractions:
1029/1260 + 1080/1260 = 1029 + 1080/1260 = 2109/1260 - 2109/1260 simplified gives 703/420
- So, 49/60 + 54/63 = 703/420
In mixed form: 1283/420
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Related: 98/60+54/63