Add 35/75 and 70/49
1st number: 35/75, 2nd number: 1 21/49
35/75 + 70/49 is 199/105.
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,
35/75 = 35 × 49/75 × 49 = 1715/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
70/49 = 70 × 75/49 × 75 = 5250/3675 - Add the two like fractions:
1715/3675 + 5250/3675 = 1715 + 5250/3675 = 6965/3675 - 6965/3675 simplified gives 199/105
- So, 35/75 + 70/49 = 199/105
In mixed form: 194/105
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