Add 18/27 and 28/45
18/27 + 28/45 is 58/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 45 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
18/27 = 18 × 5/27 × 5 = 90/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
28/45 = 28 × 3/45 × 3 = 84/135 - Add the two like fractions:
90/135 + 84/135 = 90 + 84/135 = 174/135 - 174/135 simplified gives 58/45
- So, 18/27 + 28/45 = 58/45
In mixed form: 113/45
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