Add 80/75 and 21/42
1st number: 1 5/75, 2nd number: 21/42
80/75 + 21/42 is 47/30.
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,
80/75 = 80 × 14/75 × 14 = 1120/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
21/42 = 21 × 25/42 × 25 = 525/1050 - Add the two like fractions:
1120/1050 + 525/1050 = 1120 + 525/1050 = 1645/1050 - 1645/1050 simplified gives 47/30
- So, 80/75 + 21/42 = 47/30
In mixed form: 117/30
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