Question

How do you write `5 3/4 -:23` as a fraction and as a decimal number?

Answer 1

`(23/4)/ (23/1)` as a complex fraction as a decimal 0.25

Explanation:

`5 xx 3/4` is a mixed number it can be changed to a fraction.

There are five whole numbers each whole number can be divided into 4 fourths. Multiply 5 x 4 = 20 fourths

Now add the 20 fourths to the 3 fourths in the mixed number.

`20/4 + 3/4` = `23/4` This becomes the numerator in the complex fraction.

The denominator of the fraction is `23/1` any whole number like 23 can be written as a fraction by using 1 as the denominator.

so as a fraction `(23/4)/(23/1)` This can be simplified by multiplying both the denominator and numerator by the inverse of the denominator `1/23`

`{(23/4 )xx (1/23) }/{ (23/1) xx (1/23)}` The 23 on the top is canceled by the 23 on the bottom leaving

1/4 as the simplified fraction.

1/4 as a decimal is 0.25

Answer 2

`1/4` and `0.25`

Explanation:

First, you must simplify the expression. Remember that to multiply or divide fractions, mixed numbers must be written as improper fractions and whole numbers must be written in fraction form.
`5 3/4 = 23/4`
`23 = 23/1`
So, `5 3/4 -: 23` is first rewritten as
`23/4 -: 23/1`

The process for dividing two fractions is to keep the first fraction exactly as it is, change the operation from division to multiplication, and use the reciprocal of the second fraction.
`23/4 * 1/23 = 1/4`

To find the decimal form of a fraction, divide the numerator by the denominator.
`1/4= 1 -: 4 = 0.25`

So, the fraction and decimal forms of the expression are `1/4` and `0.25`.