Add 49/30 and 75/14
1st number: 1 19/30, 2nd number: 5 5/14
49/30 + 75/14 is 734/105.
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,
49/30 = 49 × 7/30 × 7 = 343/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
75/14 = 75 × 15/14 × 15 = 1125/210 - Add the two like fractions:
343/210 + 1125/210 = 343 + 1125/210 = 1468/210 - 1468/210 simplified gives 734/105
- So, 49/30 + 75/14 = 734/105
In mixed form: 6104/105
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