Add 35/75 and 7/49
35/75 + 7/49 is 64/105.
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,
7/49 = 7 × 75/49 × 75 = 525/3675 - Add the two like fractions:
1715/3675 + 525/3675 = 1715 + 525/3675 = 2240/3675 - 2240/3675 simplified gives 64/105
- So, 35/75 + 7/49 = 64/105
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