Add 21/49 and 40/50
21/49 + 40/50 is 43/35.
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,
21/49 = 21 × 50/49 × 50 = 1050/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
40/50 = 40 × 49/50 × 49 = 1960/2450 - Add the two like fractions:
1050/2450 + 1960/2450 = 1050 + 1960/2450 = 3010/2450 - 3010/2450 simplified gives 43/35
- So, 21/49 + 40/50 = 43/35
In mixed form: 18/35
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