Add 90/27 and 40/45
1st number: 3 9/27, 2nd number: 40/45
90/27 + 40/45 is 38/9.
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,
90/27 = 90 × 5/27 × 5 = 450/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
40/45 = 40 × 3/45 × 3 = 120/135 - Add the two like fractions:
450/135 + 120/135 = 450 + 120/135 = 570/135 - 570/135 simplified gives 38/9
- So, 90/27 + 40/45 = 38/9
In mixed form: 42/9
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