Add 40/50 and 54/49
1st number: 40/50, 2nd number: 1 5/49
40/50 + 54/49 is 466/245.
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,
40/50 = 40 × 49/50 × 49 = 1960/2450 - Likewise, for the 2nd fraction, since 49 × 50 = 2450,
54/49 = 54 × 50/49 × 50 = 2700/2450 - Add the two like fractions:
1960/2450 + 2700/2450 = 1960 + 2700/2450 = 4660/2450 - 4660/2450 simplified gives 466/245
- So, 40/50 + 54/49 = 466/245
In mixed form: 1221/245
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