Add 40/98 and 28/30
40/98 + 28/30 is 986/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 98 × 15 = 1470,
40/98 = 40 × 15/98 × 15 = 600/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
28/30 = 28 × 49/30 × 49 = 1372/1470 - Add the two like fractions:
600/1470 + 1372/1470 = 600 + 1372/1470 = 1972/1470 - 1972/1470 simplified gives 986/735
- So, 40/98 + 28/30 = 986/735
In mixed form: 1251/735
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