Add 35/30 and 21/84
1st number: 1 5/30, 2nd number: 21/84
35/30 + 21/84 is 17/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
35/30 = 35 × 14/30 × 14 = 490/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
21/84 = 21 × 5/84 × 5 = 105/420 - Add the two like fractions:
490/420 + 105/420 = 490 + 105/420 = 595/420 - 595/420 simplified gives 17/12
- So, 35/30 + 21/84 = 17/12
In mixed form: 15/12
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