Add 30/27 and 42/45
1st number: 1 3/27, 2nd number: 42/45
30/27 + 42/45 is 92/45.
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,
30/27 = 30 × 5/27 × 5 = 150/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
42/45 = 42 × 3/45 × 3 = 126/135 - Add the two like fractions:
150/135 + 126/135 = 150 + 126/135 = 276/135 - 276/135 simplified gives 92/45
- So, 30/27 + 42/45 = 92/45
In mixed form: 22/45
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