Add 30/27 and 45/48
1st number: 1 3/27, 2nd number: 45/48
30/27 + 45/48 is 295/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 48 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
30/27 = 30 × 16/27 × 16 = 480/432 - Likewise, for the 2nd fraction, since 48 × 9 = 432,
45/48 = 45 × 9/48 × 9 = 405/432 - Add the two like fractions:
480/432 + 405/432 = 480 + 405/432 = 885/432 - 885/432 simplified gives 295/144
- So, 30/27 + 45/48 = 295/144
In mixed form: 27/144
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