Add 10/21 and 14/30
10/21 + 14/30 is 33/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 21 × 10 = 210,
10/21 = 10 × 10/21 × 10 = 100/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
14/30 = 14 × 7/30 × 7 = 98/210 - Add the two like fractions:
100/210 + 98/210 = 100 + 98/210 = 198/210 - 198/210 simplified gives 33/35
- So, 10/21 + 14/30 = 33/35
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