Question

Evaluate:

1\tfrac{8}{9} \div \frac{1}{3}
1
9
8
​
÷
3
1
​

\text{State your answer as a mixed number in simplest form.}
State your answer as a mixed number in simplest form.

Answer 1

The expression
`\(1\tfrac{8}{9} / (1)/(3)\) simplifies to \(5\tfrac{2}{3}\)` as a mixed number in its simplest form. The conversion involves expressing the mixed number as an improper fraction, multiplying by the reciprocal of the divisor, and then simplifying the result. The final answer represents the quotient of the division operation.

Explanation:

To evaluate
`\(1\tfrac{8}{9} / (1)/(3),\)` begin by converting the mixed number to an improper fraction, yielding
`\((17)/(9).\)` Transform the division operation into multiplication by taking the reciprocal of the divisor, resulting in
`\((17)/(9) * (3)/(1).\)` Multiply the numerators (17 and 3) to get 51 and the denominators (9 and 1) to get 9. This yields the fraction
`\((51)/(9).\)`

To simplify further, recognize that both the numerator and denominator are divisible by 3. Divide both by 3 to obtain
`\((17)/(3).\)` This fraction represents the division
`\(1\tfrac{8}{9} / (1)/(3).\)`

Expressing the fraction as a mixed number, recognize that (17) divided by (3) equals (5) with a remainder of (2.) This remainder is placed over the divisor (3) to form the mixed number
`\(5\tfrac{2}{3}.\)`

In conclusion,
`\(1\tfrac{8}{9} / (1)/(3) = 5\tfrac{2}{3},\)` providing a comprehensive explanation of the step-by-step process involved in simplifying the expression.

Answer 2

Answer:ez

Step-by-step explanation: blah blah blah blah