Grade 4Mathematics

Simple Fractions (Intro)

What a fraction is, halves, thirds, quarters; comparing simple fractions.

📖 6 min read · 3 worked examples · 4 practice questions

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The lesson

Everyone. We're going to start looking at a brand new, very important concept. Does anyone see something familiar on the board? A pie emoji. We love pie. Today, we're not just eating pie. A fraction is a number that names part of a whole object or group. Let's say that together: 'A fraction names a part of a whole.' Fantastic. For a real example we all know. Imagine your mum makes a big, soft chapati. Delicious, right? She wants to share it equally among you and your three best friends. That's four of you in total. If you cut it into four equal pieces... What happens? Each friend gets one piece out of the four total pieces. In math, we write that like this: one over four. This is the fraction 'one-fourth'. It tells us we have one part of something that was divided into four equal parts. To understand fractions well, we need to know three key words. First, the WHOLE. This is the complete item, like the whole uncut chapati. Next, a PART. This is one piece of that whole, like your single piece of chapati. Finally, we SHARE or divide the whole into equal parts. Let's think for a moment. Can you find fractions in your home? Maybe think about a mandazi cut into pieces, or a loaf of bread. Around you after class and see if you can spot something that could be described as a part of a whole.

We're going to dive into a very important part of math today: fractions. Fractions are everywhere — when we share a pizza, when we divide a cake, or when we split a mandazi among friends. Let's get started. Every fraction has two parts. The top number is called the numerator. This tells us how many parts we have or we take. Think about it as the number you can count. The bottom number is the denominator. This tells us the total number of equal parts the whole thing is divided into. It's like the total number of slices. This circle represents a whole pizza. It's divided into four equal slices. Here, one slice is shaded or taken. How do we write that as a fraction? We have 1 part taken, and there were 4 total slices. That's written as one over four, or one-fourth. Another example from our Kenyan life: imagine a mandazi divided into six equal pieces. If you take three pieces, what fraction do you have? The numerator is 3 — the parts you took. The denominator is 6 — the total pieces. You have three-sixths. To remember: numerator means parts taken, denominator means total parts. It's like a simple rule. If you can count what you have and know the total, you can write any fraction.

Some specific fractions we use all the time. We just talked about what a fraction is, and this page is all about Halves, Thirds, and Quarters. Can you all say it with me? One-half. When we cut or divide something into two equal parts, each part is called a half. A different fraction. This is one-third. When we divide a whole into three equal parts, each part is called a third. Imagine cutting a chapati into three equal pieces for three friends. Finally, we have one-quarter. When we split something into four equal parts, each part is a quarter. It's like sharing a mandazi among four people. At this table. We have different shapes here: circles and rectangles. For each shape, it shows how many parts it's divided into, how many parts are shaded, and the fraction that represents the shaded part. This is how shapes help us see fractions.

Excellent work today, class! We've covered so much about fractions. First, we remember that a fraction is simply a part of a whole. It's a way to talk about pieces of something, like a piece of a delicious chapati. Every fraction has two important parts: the numerator and the denominator. The top number, the numerator, tells you the parts you have. The bottom number, the denominator, tells you the total equal parts the whole is divided into. We learned special names for fractions with denominators of 2, 3, and 4: halves, thirds, and quarters. Cutting something into two equal parts gives halves, three parts give thirds, and four parts give quarters. We can compare them! At this. One-half is greater than one-quarter. That makes sense, right? If you split a chapati into two pieces, each piece is bigger than if you split it into four pieces. The best part is that fractions are not just for classwork. We use them every single day! When you share mandazi with a friend, you're using fractions. Dividing sweets fairly, cutting an orange—these are all real-life fractions. Remember this final, very important point: fractions are everywhere! Keep your eyes open. I want you all to be fraction detectives and start spotting them in your daily life. I'm so proud of each and every one of you.

Worked examples

Sharing Chapati

Class. Let's practice what we've learned with a real problem. This is Worked Example 1: Sharing Chapati. First, we have the problem. It says, 'You have 1 chapati and 4 children who want to share it equally.' Now, imagine that delicious, warm chapati. How can we be fair? We need to give each child the same amount. Step 1 is to draw. We draw the chapati as a circle and then, to share it equally among 4, we divide it into 4 equal parts. Equal is very important. Each part must be the same size. Step 2 is to share. We give 1 part to each child. Each child gets one quarter of the chapati. A quarter means one out of four equal parts. We write that amount as the fraction one over four, or one-fourth. Finally, step 3 is our conclusion. Sharing 1 whole thing among 4 equal groups means 1 divided by 4. We see that 1 divided by 4 equals one-fourth. Division and fractions are connected. When we share or divide equally, we create fractions. Excellent job following along, everyone!

Mandazi Pack

Class, let's work through our second example together. This one is about a very tasty topic: mandazi! From a pack of six mandazi, two are eaten. Our job is to find what fraction of the pack remains. We follow our steps. Step one: identify the whole. The whole pack has six mandazi. That's our total. Step two: what part was taken? Two mandazi were eaten. Step three: find what's left. If we start with six and two are gone, we have four mandazi remaining. Step four: write the fraction. The remaining part is four out of the total six. The fraction is four over six. We can make it simpler. Both four and six can be divided by two. Four divided by two is two, and six divided by two is three. Four-sixths simplifies to two-thirds. The key point here: four-sixths of the pack remains, and that is equal to two-thirds. If you had a pack of mandazi and ate two, you'd have two-thirds of the pack left to share. Great work, everyone!

Comparing Shares

This one is about comparing shares. On the left, we have one chapati that is divided into 2 equal parts. The shaded part here shows one half, which we write as the fraction one over two. On the right, we have another chapati of the same size, but this one is divided into 4 equal parts. The shaded part here shows one quarter, which we write as the fraction one over four. By looking at the two shaded parts, can you tell which one is bigger? It's clear to see that one half is a much larger piece than one quarter. The half is bigger! Here's a very important rule for comparing fractions. When the whole, or the chapati, is the same size, if it is divided into fewer parts, each part is bigger. That's why half is bigger than a quarter. Fantastic observation, everyone.

Practice questions

  • Remember the definitions: the denominator is the bottom number. It tells you how many total equal parts we have.
  • Let's picture a circle. You would divide it into 8 equal parts, like slicing a mandazi.
  • Comparing fractions in question three is important. Think about the size of the parts.
  • The last question is a real one from home. Mama Atieno shares one chapati equally among 4 children.

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