Add 49/84 and 42/50
49/84 + 42/50 is 427/300.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 50 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
49/84 = 49 × 25/84 × 25 = 1225/2100 - Likewise, for the 2nd fraction, since 50 × 42 = 2100,
42/50 = 42 × 42/50 × 42 = 1764/2100 - Add the two like fractions:
1225/2100 + 1764/2100 = 1225 + 1764/2100 = 2989/2100 - 2989/2100 simplified gives 427/300
- So, 49/84 + 42/50 = 427/300
In mixed form: 1127/300
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