Add 35/50 and 45/49
35/50 + 45/49 is 793/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 49 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 50 × 49 = 2450,
35/50 = 35 × 49/50 × 49 = 1715/2450 - Likewise, for the 2nd fraction, since 49 × 50 = 2450,
45/49 = 45 × 50/49 × 50 = 2250/2450 - Add the two like fractions:
1715/2450 + 2250/2450 = 1715 + 2250/2450 = 3965/2450 - 3965/2450 simplified gives 793/490
- So, 35/50 + 45/49 = 793/490
In mixed form: 1303/490
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