Add 49/42 and 2/75
1st number: 1 7/42, 2nd number: 2/75
49/42 + 2/75 is 179/150.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
49/42 = 49 × 25/42 × 25 = 1225/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
2/75 = 2 × 14/75 × 14 = 28/1050 - Add the two like fractions:
1225/1050 + 28/1050 = 1225 + 28/1050 = 1253/1050 - 1253/1050 simplified gives 179/150
- So, 49/42 + 2/75 = 179/150
In mixed form: 129/150
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