Add 21/14 and 75/48
1st number: 1 7/14, 2nd number: 1 27/48
21/14 + 75/48 is 49/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 14 × 24 = 336,
21/14 = 21 × 24/14 × 24 = 504/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
75/48 = 75 × 7/48 × 7 = 525/336 - Add the two like fractions:
504/336 + 525/336 = 504 + 525/336 = 1029/336 - 1029/336 simplified gives 49/16
- So, 21/14 + 75/48 = 49/16
In mixed form: 31/16
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