# Grade Five Mathematics

Exercise 1 a. 8⁵ b. 11² d. 7⁴ e. 10⁸

Greetings Boys and Girls! Welcome back to our Math corner! I hope you're doing well. This week, we'll be diving into the topic of 'Fractions,' exploring its concepts, reviewing examples, and solving related problems. Let's get started.

## Fractions Answers to last week’s questions

c. 12³ f. 15⁵

Exercise 3 a) 6 x 6 = 36 b) 4 x 4 = 16 c) 12 x 12 = 144 d) 7 x 7 = 49 e) 9 x 9 = 81 f) 2x2=4 g) 11 x 11 = 121

Boys and girls, what do you know about fractions? Do you know what a fraction is? Let’s examine some properties of a fraction:

Fractions represent equal parts of a whole or a collection. When we divide a whole into equal parts, each part is a fraction of the whole. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator. It shows the total divisible number of equal parts the whole can be divided into, or the total number of equal parts which are there in a collection.

Here is a representation:

For example:

The top number says how many slices we have. The bottom number says how many equal slices the whole pizza was cut into.

Do you follow? To ensure you truly understand the concept, complete the exercise below carefully:

## Exercise 1

Write the fraction for the shaded part of each shape.

Good job, boys and girls! Let’s move on.

## Types of fractions

In Math, there are three major types of fractions.

## -Proper Fraction

A fraction where the numerator is less than the denominator is known as a proper fraction. For e.g.

## - Improper Fraction

A fraction where the numerator is greater than the denominator is known as an improper fraction. For e.g.

## -Mixed Fraction/Mixed Numbers

A mixed fraction is the combination of a natural number and a fraction. It can be converted into an improper fraction. For e.g., 3 ½, 6 ¾

Below is an exercise for you to complete:

## Exercise 2

State whether the following fractions are proper fractions, improper fractions, or mixed numbers.

Great job, boys and girls! Let’s move on.

Boys and girls, do you know we can change mixed numbers into improper fractions? Yes, we can! Let's learn how:

## Converting mixed fractions to improper fractions.

Here are three simple steps on how to convert mixed fractions to improper fractions:

Step 1- Multiply the whole number by the denominator.

Step 2- Add the answer from Step 1 to the numerator.

Step 3- write the answer from Step 2 over the denominator.

For e.g. convert 3

⁵/9 to an improper fraction.

Step 1: Multiply the denominator (the bottom number in the fraction) and the whole number 9 × 3 = 27

Step 2: Add the answer from Step 1 to the numerator (the top number in the fraction) 27 + 5 = 32

Step 3: Write the answer from Step 2 over the denominator

Alright, boys and girls, before we proceed, take two minutes to review the steps again.

Now, let’s do the opposite; numbers.

Let us now convert improper fractions to mixed

## Converting improper fractions to mixed numbers

Here are three simple steps on how to convert an improper fraction to a mixed number:

1. Divide the numerator by the denominator.

2. Write down the whole number part of the quotient.

3. Take the remainder and write it over the original denominator.

Example: Convert 9 to a mixed number.

4

- First, divide the numerator by the denominator = 9÷4= 2,we have a remainder of 1.

-Write down the whole number part, 2. Then take the remainder (1) and write it over the original denominator. 2 ¼