Add 54/84 and 40/63
54/84 + 40/63 is 23/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 63 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
54/84 = 54 × 3/84 × 3 = 162/252 - Likewise, for the 2nd fraction, since 63 × 4 = 252,
40/63 = 40 × 4/63 × 4 = 160/252 - Add the two like fractions:
162/252 + 160/252 = 162 + 160/252 = 322/252 - 322/252 simplified gives 23/18
- So, 54/84 + 40/63 = 23/18
In mixed form: 15/18
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