Add 30/28 and 49/90
1st number: 1 2/28, 2nd number: 49/90
30/28 + 49/90 is 509/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
30/28 = 30 × 45/28 × 45 = 1350/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
49/90 = 49 × 14/90 × 14 = 686/1260 - Add the two like fractions:
1350/1260 + 686/1260 = 1350 + 686/1260 = 2036/1260 - 2036/1260 simplified gives 509/315
- So, 30/28 + 49/90 = 509/315
In mixed form: 1194/315
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