Add 27/30 and 30/48
27/30 + 30/48 is 61/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
27/30 = 27 × 8/30 × 8 = 216/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
30/48 = 30 × 5/48 × 5 = 150/240 - Add the two like fractions:
216/240 + 150/240 = 216 + 150/240 = 366/240 - 366/240 simplified gives 61/40
- So, 27/30 + 30/48 = 61/40
In mixed form: 121/40
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