Add 49/98 and 40/75
49/98 + 40/75 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 75 is 7350
Next, find the equivalent fraction of both fractional numbers with denominator 7350 - For the 1st fraction, since 98 × 75 = 7350,
49/98 = 49 × 75/98 × 75 = 3675/7350 - Likewise, for the 2nd fraction, since 75 × 98 = 7350,
40/75 = 40 × 98/75 × 98 = 3920/7350 - Add the two like fractions:
3675/7350 + 3920/7350 = 3675 + 3920/7350 = 7595/7350 - 7595/7350 simplified gives 31/30
- So, 49/98 + 40/75 = 31/30
In mixed form: 11/30
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