Question

Question #2251c

Answer 1

`11/20`

Explanation:

Providing you are asking the question:
`2 3/4\div5`

We can convert everything into fractional form. This will make it easier to solve.

First, we will change the mixed number `2 3/4` into an improper fraction. This is done by multiplying the whole number by the denominator, then adding the value in the numerator. The result is your numerator for the improper fraction:
`(2(4)+3)/5=(8+3)/4=11/4`

Next, we convert 5 into a fraction. A whole number can also be written as a fraction with denominator 1:
`5=5/1`

So now we have:
`2 3/4\div5\rArr11/4\div5/1`

To divide by a fraction, you multiply by its reciprocal, or the flipped form of that fraction. Here we flip the second fraction to solve:
`11/4xx1/5`
Multiplying... `(11xx1)/(4xx5)=11/20`

Answer 2

`2 3/4-:5=11/20`

Explanation:

Simplify:

`2 3/4-:5`

Convert `2 3/4` to an improper fraction. Multiply the denominator by the whole number, then add the numerator, and place the result over the denominator.

`((4xx2+3))/4-:5`

Simplify. Any whole number `n=n/1`.

`11/4-:5/1`

When dividing by fractions, you divide by the multiplicative inverse of the number. `a-:b/c=axxc/b`

`11/4xx1/5`

Multiply the numerators and the denominators. `a/cxxb/d=(ab)/(cd)`

`(11xx1)/(4xx5)`

Simplify.

`11/20`