Add 21/30 and 10/28
21/30 + 10/28 is 37/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
21/30 = 21 × 14/30 × 14 = 294/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
10/28 = 10 × 15/28 × 15 = 150/420 - Add the two like fractions:
294/420 + 150/420 = 294 + 150/420 = 444/420 - 444/420 simplified gives 37/35
- So, 21/30 + 10/28 = 37/35
In mixed form: 12/35
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