Add 35/75 and 30/49
35/75 + 30/49 is 793/735.
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,
30/49 = 30 × 75/49 × 75 = 2250/3675 - Add the two like fractions:
1715/3675 + 2250/3675 = 1715 + 2250/3675 = 3965/3675 - 3965/3675 simplified gives 793/735
- So, 35/75 + 30/49 = 793/735
In mixed form: 158/735
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