Add 49/50 and 42/49
49/50 + 42/49 is 643/350.
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,
49/50 = 49 × 49/50 × 49 = 2401/2450 - Likewise, for the 2nd fraction, since 49 × 50 = 2450,
42/49 = 42 × 50/49 × 50 = 2100/2450 - Add the two like fractions:
2401/2450 + 2100/2450 = 2401 + 2100/2450 = 4501/2450 - 4501/2450 simplified gives 643/350
- So, 49/50 + 42/49 = 643/350
In mixed form: 1293/350
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