Add 10/75 and 80/42
1st number: 10/75, 2nd number: 1 38/42
10/75 + 80/42 is 214/105.
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,
10/75 = 10 × 14/75 × 14 = 140/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
80/42 = 80 × 25/42 × 25 = 2000/1050 - Add the two like fractions:
140/1050 + 2000/1050 = 140 + 2000/1050 = 2140/1050 - 2140/1050 simplified gives 214/105
- So, 10/75 + 80/42 = 214/105
In mixed form: 24/105
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