Add 40/9 and 84/32
1st number: 4 4/9, 2nd number: 2 20/32
40/9 + 84/32 is 509/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 32 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 9 × 32 = 288,
40/9 = 40 × 32/9 × 32 = 1280/288 - Likewise, for the 2nd fraction, since 32 × 9 = 288,
84/32 = 84 × 9/32 × 9 = 756/288 - Add the two like fractions:
1280/288 + 756/288 = 1280 + 756/288 = 2036/288 - 2036/288 simplified gives 509/72
- So, 40/9 + 84/32 = 509/72
In mixed form: 75/72
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