Add 21/45 and 24/27
21/45 + 24/27 is 61/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 45 × 3 = 135,
21/45 = 21 × 3/45 × 3 = 63/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
24/27 = 24 × 5/27 × 5 = 120/135 - Add the two like fractions:
63/135 + 120/135 = 63 + 120/135 = 183/135 - 183/135 simplified gives 61/45
- So, 21/45 + 24/27 = 61/45
In mixed form: 116/45
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