Add 49/45 and 30/28
1st number: 1 4/45, 2nd number: 1 2/28
49/45 + 30/28 is 1361/630.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 28 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
49/45 = 49 × 28/45 × 28 = 1372/1260 - Likewise, for the 2nd fraction, since 28 × 45 = 1260,
30/28 = 30 × 45/28 × 45 = 1350/1260 - Add the two like fractions:
1372/1260 + 1350/1260 = 1372 + 1350/1260 = 2722/1260 - 2722/1260 simplified gives 1361/630
- So, 49/45 + 30/28 = 1361/630
In mixed form: 2101/630
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