Add 75/35 and 14/21
1st number: 2 5/35, 2nd number: 14/21
75/35 + 14/21 is 59/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 35 × 3 = 105,
75/35 = 75 × 3/35 × 3 = 225/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
14/21 = 14 × 5/21 × 5 = 70/105 - Add the two like fractions:
225/105 + 70/105 = 225 + 70/105 = 295/105 - 295/105 simplified gives 59/21
- So, 75/35 + 14/21 = 59/21
In mixed form: 217/21
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