Add 70/30 and 21/84
1st number: 2 10/30, 2nd number: 21/84
70/30 + 21/84 is 31/12.
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,
70/30 = 70 × 14/30 × 14 = 980/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
21/84 = 21 × 5/84 × 5 = 105/420 - Add the two like fractions:
980/420 + 105/420 = 980 + 105/420 = 1085/420 - 1085/420 simplified gives 31/12
- So, 70/30 + 21/84 = 31/12
In mixed form: 27/12
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