Question

F `1\frac{2}{3}` are in `\frac{5}{6}`?

Answer 1

`\(1 (2)/(3)\)` fits into
`\((5)/(6)\), \((1)/(2)\)` times.

To determine how many times the fraction
`\(1 (2)/(3)\)` fits into the fraction
`\((5)/(6)\)`, you can set up a division:

`\[ (5)/(6) / \left(1 (2)/(3)\right) \]`

First, convert the mixed number to an improper fraction:

`\[ 1 (2)/(3) = (5)/(3) \]`

Now, rewrite the division as multiplication by the reciprocal:

`\[ (5)/(6) * (3)/(5) \]`

Now, multiply the numerators and denominators:

`\[ ((5 * 3))/((6 * 5)) = (15)/(30) \]`

So, the fraction
`\((5)/(6)\)` fits into the fraction
`\(1 (2)/(3)\) \((15)/(30)\)` times. Simplifying this fraction further:

`\[ (15)/(30) = (1)/(2) \]`

Therefore,
`\(1 (2)/(3)\)` fits into
`\((5)/(6)\), \((1)/(2)\)` times.

The probable question can be: How many times does the fraction \(1 \frac{2}{3}\) fit into the fraction \(\frac{5}{6}\)?