Add 21/84 and 21/30
21/84 + 21/30 is 19/20.
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,
21/84 = 21 × 5/84 × 5 = 105/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
21/30 = 21 × 14/30 × 14 = 294/420 - Add the two like fractions:
105/420 + 294/420 = 105 + 294/420 = 399/420 - 399/420 simplified gives 19/20
- So, 21/84 + 21/30 = 19/20
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