Add 98/49 and 45/40
1st number: 2 0/49, 2nd number: 1 5/40
98/49 + 45/40 is 25/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
98/49 = 98 × 40/49 × 40 = 3920/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
45/40 = 45 × 49/40 × 49 = 2205/1960 - Add the two like fractions:
3920/1960 + 2205/1960 = 3920 + 2205/1960 = 6125/1960 - 6125/1960 simplified gives 25/8
- So, 98/49 + 45/40 = 25/8
In mixed form: 31/8
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