Add 49/98 and 75/40
1st number: 49/98, 2nd number: 1 35/40
49/98 + 75/40 is 19/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 98 × 20 = 1960,
49/98 = 49 × 20/98 × 20 = 980/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
75/40 = 75 × 49/40 × 49 = 3675/1960 - Add the two like fractions:
980/1960 + 3675/1960 = 980 + 3675/1960 = 4655/1960 - 4655/1960 simplified gives 19/8
- So, 49/98 + 75/40 = 19/8
In mixed form: 23/8
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