Add 40/50 and 45/49
40/50 + 45/49 is 421/245.
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,
45/49 = 45 × 50/49 × 50 = 2250/2450 - Add the two like fractions:
1960/2450 + 2250/2450 = 1960 + 2250/2450 = 4210/2450 - 4210/2450 simplified gives 421/245
- So, 40/50 + 45/49 = 421/245
In mixed form: 1176/245
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