Add 49/30 and 3/42
1st number: 1 19/30, 2nd number: 3/42
49/30 + 3/42 is 179/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 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 42 × 5 = 210,
3/42 = 3 × 5/42 × 5 = 15/210 - Add the two like fractions:
343/210 + 15/210 = 343 + 15/210 = 358/210 - 358/210 simplified gives 179/105
- So, 49/30 + 3/42 = 179/105
In mixed form: 174/105
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