Add 21/30 and 3/14
21/30 + 3/14 is 32/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 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 14 × 15 = 210,
3/14 = 3 × 15/14 × 15 = 45/210 - Add the two like fractions:
147/210 + 45/210 = 147 + 45/210 = 192/210 - 192/210 simplified gives 32/35
- So, 21/30 + 3/14 = 32/35
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