Add 40/49 and 28/30
40/49 + 28/30 is 1286/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
40/49 = 40 × 30/49 × 30 = 1200/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
28/30 = 28 × 49/30 × 49 = 1372/1470 - Add the two like fractions:
1200/1470 + 1372/1470 = 1200 + 1372/1470 = 2572/1470 - 2572/1470 simplified gives 1286/735
- So, 40/49 + 28/30 = 1286/735
In mixed form: 1551/735
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