Add 24/27 and 4/45
24/27 + 4/45 is 44/45.
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,
24/27 = 24 × 5/27 × 5 = 120/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
4/45 = 4 × 3/45 × 3 = 12/135 - Add the two like fractions:
120/135 + 12/135 = 120 + 12/135 = 132/135 - 132/135 simplified gives 44/45
- So, 24/27 + 4/45 = 44/45
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