Add 35/42 and 14/75
35/42 + 14/75 is 51/50.
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,
35/42 = 35 × 25/42 × 25 = 875/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
14/75 = 14 × 14/75 × 14 = 196/1050 - Add the two like fractions:
875/1050 + 196/1050 = 875 + 196/1050 = 1071/1050 - 1071/1050 simplified gives 51/50
- So, 35/42 + 14/75 = 51/50
In mixed form: 11/50
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