Add 49/50 and 27/42
49/50 + 27/42 is 284/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 50 × 21 = 1050,
49/50 = 49 × 21/50 × 21 = 1029/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
27/42 = 27 × 25/42 × 25 = 675/1050 - Add the two like fractions:
1029/1050 + 675/1050 = 1029 + 675/1050 = 1704/1050 - 1704/1050 simplified gives 284/175
- So, 49/50 + 27/42 = 284/175
In mixed form: 1109/175
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