Add 10/32 and 40/9
1st number: 10/32, 2nd number: 4 4/9
10/32 + 40/9 is 685/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 9 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 32 × 9 = 288,
10/32 = 10 × 9/32 × 9 = 90/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
40/9 = 40 × 32/9 × 32 = 1280/288 - Add the two like fractions:
90/288 + 1280/288 = 90 + 1280/288 = 1370/288 - 1370/288 simplified gives 685/144
- So, 10/32 + 40/9 = 685/144
In mixed form: 4109/144
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