Add 40/49 and 30/50
40/49 + 30/50 is 347/245.
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,
40/49 = 40 × 50/49 × 50 = 2000/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
30/50 = 30 × 49/50 × 49 = 1470/2450 - Add the two like fractions:
2000/2450 + 1470/2450 = 2000 + 1470/2450 = 3470/2450 - 3470/2450 simplified gives 347/245
- So, 40/49 + 30/50 = 347/245
In mixed form: 1102/245
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