Add 54/84 and 21/30
54/84 + 21/30 is 47/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
54/84 = 54 × 5/84 × 5 = 270/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
21/30 = 21 × 14/30 × 14 = 294/420 - Add the two like fractions:
270/420 + 294/420 = 270 + 294/420 = 564/420 - 564/420 simplified gives 47/35
- So, 54/84 + 21/30 = 47/35
In mixed form: 112/35
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