Add 20/75 and 49/48
1st number: 20/75, 2nd number: 1 1/48
20/75 + 49/48 is 103/80.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 48 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
20/75 = 20 × 16/75 × 16 = 320/1200 - Likewise, for the 2nd fraction, since 48 × 25 = 1200,
49/48 = 49 × 25/48 × 25 = 1225/1200 - Add the two like fractions:
320/1200 + 1225/1200 = 320 + 1225/1200 = 1545/1200 - 1545/1200 simplified gives 103/80
- So, 20/75 + 49/48 = 103/80
In mixed form: 123/80
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