Add 35/75 and 90/42
1st number: 35/75, 2nd number: 2 6/42
35/75 + 90/42 is 274/105.
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,
90/42 = 90 × 25/42 × 25 = 2250/1050 - Add the two like fractions:
490/1050 + 2250/1050 = 490 + 2250/1050 = 2740/1050 - 2740/1050 simplified gives 274/105
- So, 35/75 + 90/42 = 274/105
In mixed form: 264/105
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