Add 10/75 and 75/42
1st number: 10/75, 2nd number: 1 33/42
10/75 + 75/42 is 403/210.
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,
75/42 = 75 × 25/42 × 25 = 1875/1050 - Add the two like fractions:
140/1050 + 1875/1050 = 140 + 1875/1050 = 2015/1050 - 2015/1050 simplified gives 403/210
- So, 10/75 + 75/42 = 403/210
In mixed form: 1193/210
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