Add 30/48 and 75/27
1st number: 30/48, 2nd number: 2 21/27
30/48 + 75/27 is 245/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 27 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 48 × 9 = 432,
30/48 = 30 × 9/48 × 9 = 270/432 - Likewise, for the 2nd fraction, since 27 × 16 = 432,
75/27 = 75 × 16/27 × 16 = 1200/432 - Add the two like fractions:
270/432 + 1200/432 = 270 + 1200/432 = 1470/432 - 1470/432 simplified gives 245/72
- So, 30/48 + 75/27 = 245/72
In mixed form: 329/72
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