Add 30/32 and 32/9
1st number: 30/32, 2nd number: 3 5/9
30/32 + 32/9 is 647/144.
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,
30/32 = 30 × 9/32 × 9 = 270/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
32/9 = 32 × 32/9 × 32 = 1024/288 - Add the two like fractions:
270/288 + 1024/288 = 270 + 1024/288 = 1294/288 - 1294/288 simplified gives 647/144
- So, 30/32 + 32/9 = 647/144
In mixed form: 471/144
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