Question

Subtract. 38 2/9 - 19 2/3​

Answer 1

`18 (5)/(9)\).`

Explanation:

To subtract
`\(38 (2)/(9) - 19 (2)/(3)\),` first convert both mixed numbers to improper fractions:

`\[ 38 (2)/(9) = (38 * 9 + 2)/(9) = (344)/(9) \]\[ 19 (2)/(3) = (19 * 3 + 2)/(3) = (59)/(3) \]`

Now, subtract the fractions:

`\[ (344)/(9) - (59)/(3) \]`

To subtract fractions, find a common denominator, which in this case is 9:

`\[ (344)/(9) - (177)/(9) \]`

Now subtract the numerators:

`\[ (344 - 177)/(9) \]\[ (167)/(9) \]`

Now, convert the improper fraction back to a mixed number:

`\[ 167 / 9 = 18 (5)/(9) \]`

So,
`\(38 (2)/(9) - 19 (2)/(3) = 18 (5)/(9)\).`