Add 90/27 and 64/45
1st number: 3 9/27, 2nd number: 1 19/45
90/27 + 64/45 is 214/45.
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,
90/27 = 90 × 5/27 × 5 = 450/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
64/45 = 64 × 3/45 × 3 = 192/135 - Add the two like fractions:
450/135 + 192/135 = 450 + 192/135 = 642/135 - 642/135 simplified gives 214/45
- So, 90/27 + 64/45 = 214/45
In mixed form: 434/45
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