Improper fractions can be converted to mixed fractions.

However, try 5 ÷ 2. There are 2 equal groups of 2, but 1 is left over:

2 is the quotient.
1 is the remainder.
Using the on-screen calculator:
Please tell us using

- An improper fraction (or top-heavy fraction) is a fraction where the top number is greater than (or equal to) the bottom number.
- A mixed fraction has a whole number and a fraction.

## How to Convert from Improper to Mixed Fractions

## Question

Convert the improper fraction below to a mixed fraction.## Step-by-Step:

## 1

Divide the top number (called the numerator) of the fraction by the bottom number (called the denominator).
Express it as a quotient and a remainder.

5 ÷ 2 = 2

**r**1**Don't forget:**If a number does not divide exactly into another, you get a quotient (2 in our example) and a remainder (1) that is left over.**r**means**remainder**. See the**Note**.## 2

Use the answer from

**Step 1**...
2 r 1

to write the mixed fraction.
Write the quotient (2) as the whole number part of the mixed fraction.## 3

Use the answer from

**Step 1**...
2 r 1

to write the mixed fraction.
Write the remainder (1) as the numerator of the fraction part of the mixed fraction.## 4

Find the denominator of the fraction.

2

The denominator of the original improper fraction (2) becomes the denominator of the fraction part of the mixed fraction.^{1}/_{?}## 5

Simplify the fraction if possible. (The fraction in our example is already as simple as possible).

## Answer:

2^{1}/_{2}(two and a half) is^{5}/_{2}(five-halves) written as a mixed fraction.## What Is a Remainder?

A number can often be divided exactly by another number. For example, 4 ÷ 2 = 2. This means 4 objects can be divided into 2 equal groups of 2:However, try 5 ÷ 2. There are 2 equal groups of 2, but 1 is left over:

5 ÷ 2 = 2 with a remainder 1

5 ÷ 2 = 2 r 1

## How to Find the Quotient and Remainder with a Calculator

This**Note**explains how to find**Step 1**in our example.## Question

Find 5 ÷ 2, expressing the answer as a quotient and a remainder.- Type 5 ÷ 2.

- Click the = button. The answer is 2.5.

**left**of the decimal point (2 in our example) is the quotient.*The quotient is 2.*To find the remainder, start with 2.5 still showing in the calculator.- Subtract the quotient.
Type
**− 2**.

- Click the
**=**button. The answer is 0.5.

- Multiply by the number you first divided by (2 in this example, as we are finding 5 ÷ 2).
Type
**× 2**.

- Click the
**=**button. The answer is 1. This is the remainder.

*The remainder is 1.*
5 ÷ 2 = 2 r 1.

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