Add 8/75 and 49/48
1st number: 8/75, 2nd number: 1 1/48
8/75 + 49/48 is 451/400.
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,
8/75 = 8 × 16/75 × 16 = 128/1200 - Likewise, for the 2nd fraction, since 48 × 25 = 1200,
49/48 = 49 × 25/48 × 25 = 1225/1200 - Add the two like fractions:
128/1200 + 1225/1200 = 128 + 1225/1200 = 1353/1200 - 1353/1200 simplified gives 451/400
- So, 8/75 + 49/48 = 451/400
In mixed form: 151/400
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