﻿ Rewriting Fractions as a Whole Number plus a Fraction
REWRITING FRACTIONS AS A WHOLE NUMBER PLUS A FRACTION
• PRACTICE (online exercises and printable worksheets)
• This page gives an in-a-nutshell discussion of the concepts.
Want more details, more exercises? Read the full text!

Note that:

$\displaystyle \frac{23}7 = \frac{21+2}7 = \frac{21}7 + \frac{2}7 = 3 + \frac 27$

Thought process:
How many times does $\,7\,$ go into $\,23\,$? (Answer: $\,3\,$ times)
How many are left over? (Answer: $\,2\,$ left over)

You will be given a fraction, and asked for the whole number and fraction part, like this:

EXAMPLE:
Question:
Consider this fraction:   $\displaystyle\frac{23}7$
What is the whole number part?
What is the fraction part?
Solution:
The whole number part is: $\,3$
The fraction part is: $\displaystyle\,\frac{2}7$
Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Locating Fractions on a Number Line

Note that you will type the fraction part as a diagonal fraction, $\,2/7\,$, since you can't type a horizontal fraction.
In this web exercise, you do not need to simplify the fraction part when reporting your answer.

 Consider this fraction:

 (an even number, please)