Add 75/45 and 4/27
1st number: 1 30/45, 2nd number: 4/27
75/45 + 4/27 is 49/27.
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,
75/45 = 75 × 3/45 × 3 = 225/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
4/27 = 4 × 5/27 × 5 = 20/135 - Add the two like fractions:
225/135 + 20/135 = 225 + 20/135 = 245/135 - 245/135 simplified gives 49/27
- So, 75/45 + 4/27 = 49/27
In mixed form: 122/27
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