Add 40/84 and 75/98
40/84 + 75/98 is 365/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 98 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 84 × 7 = 588,
40/84 = 40 × 7/84 × 7 = 280/588 - Likewise, for the 2nd fraction, since 98 × 6 = 588,
75/98 = 75 × 6/98 × 6 = 450/588 - Add the two like fractions:
280/588 + 450/588 = 280 + 450/588 = 730/588 - 730/588 simplified gives 365/294
- So, 40/84 + 75/98 = 365/294
In mixed form: 171/294
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