Add 49/50 and 15/42
49/50 + 15/42 is 234/175.
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,
15/42 = 15 × 25/42 × 25 = 375/1050 - Add the two like fractions:
1029/1050 + 375/1050 = 1029 + 375/1050 = 1404/1050 - 1404/1050 simplified gives 234/175
- So, 49/50 + 15/42 = 234/175
In mixed form: 159/175
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