Add 75/20 and 42/9
1st number: 3 15/20, 2nd number: 4 6/9
75/20 + 42/9 is 101/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 9 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
75/20 = 75 × 9/20 × 9 = 675/180 - Likewise, for the 2nd fraction, since 9 × 20 = 180,
42/9 = 42 × 20/9 × 20 = 840/180 - Add the two like fractions:
675/180 + 840/180 = 675 + 840/180 = 1515/180 - 1515/180 simplified gives 101/12
- So, 75/20 + 42/9 = 101/12
In mixed form: 85/12
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