Add 5/49 and 45/50
5/49 + 45/50 is 491/490.
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,
5/49 = 5 × 50/49 × 50 = 250/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
45/50 = 45 × 49/50 × 49 = 2205/2450 - Add the two like fractions:
250/2450 + 2205/2450 = 250 + 2205/2450 = 2455/2450 - 2455/2450 simplified gives 491/490
- So, 5/49 + 45/50 = 491/490
In mixed form: 11/490
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