Add 30/14 and 49/15
1st number: 2 2/14, 2nd number: 3 4/15
30/14 + 49/15 is 568/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 15 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
30/14 = 30 × 15/14 × 15 = 450/210 - Likewise, for the 2nd fraction, since 15 × 14 = 210,
49/15 = 49 × 14/15 × 14 = 686/210 - Add the two like fractions:
450/210 + 686/210 = 450 + 686/210 = 1136/210 - 1136/210 simplified gives 568/105
- So, 30/14 + 49/15 = 568/105
In mixed form: 543/105
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