Add 21/30 and 14/35
21/30 + 14/35 is 11/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
14/35 = 14 × 6/35 × 6 = 84/210 - Add the two like fractions:
147/210 + 84/210 = 147 + 84/210 = 231/210 - 231/210 simplified gives 11/10
- So, 21/30 + 14/35 = 11/10
In mixed form: 11/10
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