Add 75/2 and 45/98
1st number: 37 1/2, 2nd number: 45/98
75/2 + 45/98 is 1860/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 98 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 2 × 49 = 98,
75/2 = 75 × 49/2 × 49 = 3675/98 - Likewise, for the 2nd fraction, since 98 × 1 = 98,
45/98 = 45 × 1/98 × 1 = 45/98 - Add the two like fractions:
3675/98 + 45/98 = 3675 + 45/98 = 3720/98 - 3720/98 simplified gives 1860/49
- So, 75/2 + 45/98 = 1860/49
In mixed form: 3747/49
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