Add 20/49 and 35/50
20/49 + 35/50 is 543/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 50 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 49 × 50 = 2450,
20/49 = 20 × 50/49 × 50 = 1000/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
35/50 = 35 × 49/50 × 49 = 1715/2450 - Add the two like fractions:
1000/2450 + 1715/2450 = 1000 + 1715/2450 = 2715/2450 - 2715/2450 simplified gives 543/490
- So, 20/49 + 35/50 = 543/490
In mixed form: 153/490
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