Add 20/75 and 4/49
20/75 + 4/49 is 256/735.
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,
20/75 = 20 × 49/75 × 49 = 980/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
4/49 = 4 × 75/49 × 75 = 300/3675 - Add the two like fractions:
980/3675 + 300/3675 = 980 + 300/3675 = 1280/3675 - 1280/3675 simplified gives 256/735
- So, 20/75 + 4/49 = 256/735
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