Add 10/30 and 3/14
10/30 + 3/14 is 23/42.
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,
10/30 = 10 × 7/30 × 7 = 70/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
3/14 = 3 × 15/14 × 15 = 45/210 - Add the two like fractions:
70/210 + 45/210 = 70 + 45/210 = 115/210 - 115/210 simplified gives 23/42
- So, 10/30 + 3/14 = 23/42
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