Add 10/27 and 40/45
10/27 + 40/45 is 34/27.
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,
10/27 = 10 × 5/27 × 5 = 50/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
40/45 = 40 × 3/45 × 3 = 120/135 - Add the two like fractions:
50/135 + 120/135 = 50 + 120/135 = 170/135 - 170/135 simplified gives 34/27
- So, 10/27 + 40/45 = 34/27
In mixed form: 17/27
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