Add 45/49 and 20/50
45/49 + 20/50 is 323/245.
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,
45/49 = 45 × 50/49 × 50 = 2250/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
20/50 = 20 × 49/50 × 49 = 980/2450 - Add the two like fractions:
2250/2450 + 980/2450 = 2250 + 980/2450 = 3230/2450 - 3230/2450 simplified gives 323/245
- So, 45/49 + 20/50 = 323/245
In mixed form: 178/245
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