Add 30/49 and 45/50
30/49 + 45/50 is 741/490.
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,
30/49 = 30 × 50/49 × 50 = 1500/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
45/50 = 45 × 49/50 × 49 = 2205/2450 - Add the two like fractions:
1500/2450 + 2205/2450 = 1500 + 2205/2450 = 3705/2450 - 3705/2450 simplified gives 741/490
- So, 30/49 + 45/50 = 741/490
In mixed form: 1251/490
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