Add 40/45 and 4/27
40/45 + 4/27 is 28/27.
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,
40/45 = 40 × 3/45 × 3 = 120/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
4/27 = 4 × 5/27 × 5 = 20/135 - Add the two like fractions:
120/135 + 20/135 = 120 + 20/135 = 140/135 - 140/135 simplified gives 28/27
- So, 40/45 + 4/27 = 28/27
In mixed form: 11/27
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