What is the difference between \(22 \frac{5}{9}\) and \(14 \frac{1}{5}\)?

I m p ro p er f r a c t i o n : 22 9 5 ​ − 14 5 1 ​ = 9 203 ​ − 5 71 ​ = M ak e co mm o n d e n o mina t or : 45 1015 ​ − 45 639 ​ = 45 376 ​ = 8 45 16 ​

Answered by luana | 2024-06-24

The difference between the mixed numbers 22 ⁵/₉ and 14 ¹/₅ is 8 ¹⁶/₄₅. This is found by converting both to improper fractions, finding a common denominator, subtracting, and converting back to a mixed number.
The difference between the two mixed numbers 22 ⁵/₉ and 14 ¹/₅ involves a few steps. First, you'll want to convert each mixed number to an improper fraction to make them easier to subtract. The first number, 22 ⁵/₉, becomes (9 × 22 + 5)/9 = 203/9. The second number, 14 ¹/₅, becomes (5 × 14 + 1)/5 = 71/5.
Next, you should find a common denominator for these two fractions. The least common denominator for 9 and 5 is 45. Converting each fraction to have this common denominator gives us:

203/9 = (203 × 5)/(9 × 5) = 1015/45
71/5 = (71 × 9)/(5 × 9) = 639/45

Now subtract the second fraction from the first: 1015/45 - 639/45 = (1015 - 639)/45 = 376/45. Finally, convert this improper fraction back to a mixed number: 376/45 = 8 ¹⁶/₄₅.
Therefore, the difference required is 8 ¹⁶/₄₅.

Answered by DiBotcher | 2024-06-25

The difference between 22 9 5 ​ and 14 5 1 ​ is calculated by converting both to improper fractions, finding a common denominator, and then subtracting. After performing the calculations, the result is 8 45 16 ​ .
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Answered by luana | 2024-12-26