Add 35/75 and 49/42
1st number: 35/75, 2nd number: 1 7/42
35/75 + 49/42 is 49/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
35/75 = 35 × 14/75 × 14 = 490/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
49/42 = 49 × 25/42 × 25 = 1225/1050 - Add the two like fractions:
490/1050 + 1225/1050 = 490 + 1225/1050 = 1715/1050 - 1715/1050 simplified gives 49/30
- So, 35/75 + 49/42 = 49/30
In mixed form: 119/30
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