Add 35/75 and 84/98
35/75 + 84/98 is 139/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 98 is 7350
Next, find the equivalent fraction of both fractional numbers with denominator 7350 - For the 1st fraction, since 75 × 98 = 7350,
35/75 = 35 × 98/75 × 98 = 3430/7350 - Likewise, for the 2nd fraction, since 98 × 75 = 7350,
84/98 = 84 × 75/98 × 75 = 6300/7350 - Add the two like fractions:
3430/7350 + 6300/7350 = 3430 + 6300/7350 = 9730/7350 - 9730/7350 simplified gives 139/105
- So, 35/75 + 84/98 = 139/105
In mixed form: 134/105
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