Add 27/30 and 7/45
27/30 + 7/45 is 19/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
27/30 = 27 × 3/30 × 3 = 81/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
7/45 = 7 × 2/45 × 2 = 14/90 - Add the two like fractions:
81/90 + 14/90 = 81 + 14/90 = 95/90 - 95/90 simplified gives 19/18
- So, 27/30 + 7/45 = 19/18
In mixed form: 11/18
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