Add 70/75 and 84/49
1st number: 70/75, 2nd number: 1 35/49
70/75 + 84/49 is 278/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
70/75 = 70 × 49/75 × 49 = 3430/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
84/49 = 84 × 75/49 × 75 = 6300/3675 - Add the two like fractions:
3430/3675 + 6300/3675 = 3430 + 6300/3675 = 9730/3675 - 9730/3675 simplified gives 278/105
- So, 70/75 + 84/49 = 278/105
In mixed form: 268/105
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