Add 4/9 and 4/10
4/9 + 4/10 is 38/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 10 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 9 × 10 = 90,
4/9 = 4 × 10/9 × 10 = 40/90 - Likewise, for the 2nd fraction, since 10 × 9 = 90,
4/10 = 4 × 9/10 × 9 = 36/90 - Add the two like fractions:
40/90 + 36/90 = 40 + 36/90 = 76/90 - 76/90 simplified gives 38/45
- So, 4/9 + 4/10 = 38/45
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