Add 84/98 and 15/40
84/98 + 15/40 is 69/56.
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,
84/98 = 84 × 20/98 × 20 = 1680/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
15/40 = 15 × 49/40 × 49 = 735/1960 - Add the two like fractions:
1680/1960 + 735/1960 = 1680 + 735/1960 = 2415/1960 - 2415/1960 simplified gives 69/56
- So, 84/98 + 15/40 = 69/56
In mixed form: 113/56
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