Add 20/27 and 40/45
20/27 + 40/45 is 44/27.
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,
20/27 = 20 × 5/27 × 5 = 100/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
40/45 = 40 × 3/45 × 3 = 120/135 - Add the two like fractions:
100/135 + 120/135 = 100 + 120/135 = 220/135 - 220/135 simplified gives 44/27
- So, 20/27 + 40/45 = 44/27
In mixed form: 117/27
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