Add 35/42 and 80/75
1st number: 35/42, 2nd number: 1 5/75
35/42 + 80/75 is 19/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
35/42 = 35 × 25/42 × 25 = 875/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
80/75 = 80 × 14/75 × 14 = 1120/1050 - Add the two like fractions:
875/1050 + 1120/1050 = 875 + 1120/1050 = 1995/1050 - 1995/1050 simplified gives 19/10
- So, 35/42 + 80/75 = 19/10
In mixed form: 19/10
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