Add 49/30 and 30/28
1st number: 1 19/30, 2nd number: 1 2/28
49/30 + 30/28 is 284/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
49/30 = 49 × 14/30 × 14 = 686/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
30/28 = 30 × 15/28 × 15 = 450/420 - Add the two like fractions:
686/420 + 450/420 = 686 + 450/420 = 1136/420 - 1136/420 simplified gives 284/105
- So, 49/30 + 30/28 = 284/105
In mixed form: 274/105
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