Add 10/15 and 4/9
10/15 + 4/9 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 9 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 15 × 3 = 45,
10/15 = 10 × 3/15 × 3 = 30/45 - Likewise, for the 2nd fraction, since 9 × 5 = 45,
4/9 = 4 × 5/9 × 5 = 20/45 - Add the two like fractions:
30/45 + 20/45 = 30 + 20/45 = 50/45 - 50/45 simplified gives 10/9
- So, 10/15 + 4/9 = 10/9
In mixed form: 11/9
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