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Multiplying Fractions

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Learning text on the topic Multiplying Fractions

Multiplying Fractions

Welcome to the world of Multiplying Fractions! This fundamental maths concept is a stepping stone in understanding more complex mathematical operations. In this learning text, we'll explore what multiplying fractions involves, provide clear explanations and some practice for you to try.

Understanding Multiplying Fractions

Multiplying fractions might seem tricky at first, but it's quite straightforward once you understand the basics. All you need to do is multiply the numerators together and then multiply the denominators together!

Multiplying fractions involves multiplying the numerators (top numbers) of the fractions together and the denominators (bottom numbers) together.

Below, you will find multiplying fractions steps outlined in a table for you to copy or refer to as you work through this text. You can also remember this as the fraction multiplication rules.

Step Description
1 Multiply the numerators (the top numbers) together.
2 Multiply the denominators (the bottom numbers) together.
3 Write down the product as a new fraction.
4 Simplify the fraction if possible.

If you cannot remember how to simplify fractions, then reviewing Simplifying Fractions will help with this topic.

Before we move on to some guided practice and examples, let’s check your understanding so far of multiplying fractions.

What do you multiply together to find the product of two fractions?

Multiplying Fractions – Example

Let’s look at some fraction multiplication examples to understand this concept better. Suppose you need to multiply $\frac{1}{4}$ by $\frac{3}{2}$. Here’s how you do it:

  • Multiply the numerators: 1 x 3 = 3
  • Multiply the denominators: 4 x 2 = 8
  • The product is $\frac{3}{8}$

$\frac{1}{4}$ x $\frac{3}{2}$ = $\frac{3}{8}$, which cannot be simplified further.


Let's look at another example. This time we will multiply $\frac{2}{3}$ by $\frac{3}{4}$. Here’s how you do it:

  • Multiply the numerators: 2 x 3 = 6
  • Multiply the denominators: 3 x 4 = 12
  • The product is $\frac{6}{12}$

$\frac{2}{3}$ x $\frac{3}{4}$ = $\frac{6}{12}$, which can be simplified to $\frac{1}{2}$.


Multiplying Fractions – Guided Practice

Let’s walk through an example together! Let’s multiply $\frac{2}{3}$ by $\frac{1}{6}$.

What's the first step?
What do you get by multiplying the numerators?
What's the next step?
What is the product of the denominators?
So, what is the final answer?

Multiplying Fractions – Application

Now let’s try it on your own by doing some multiplying fractions practice!

What is $\frac{1}{2}$ x $\frac{1}{3}$?
What is $\frac{3}{4}$ x $\frac{4}{5}$?
What is $\frac{2}{5}$ x $\frac{3}{4}$?
What is $\frac{5}{6}$ x $\frac{2}{5}$?

Multiplying Fractions – Summary

  • Multiplying fractions involves multiplying the numerators and denominators, then simplifying the product fraction if that is possible.
  • The process is straightforward and follows a consistent pattern.
  • Practice with examples helps in mastering this concept.

Explore more on this topic and related ones through our interactive practice problems, engaging videos and printable worksheets on our platform. Dive deeper into the fascinating world of fractions and enhance your mathematical skills! Ready for a challenge? Then have a go at Unit Rates with Fractions.

Frequently Asked Questions about Multiplying Fractions

Can you multiply fractions with different denominators?
Is the product of two fractions always smaller than the original fractions?
Can mixed numbers be multiplied in the same way as fractions?
What if one of the fractions in the multiplication is a whole number?
Does the order of multiplication affect the product in fractions?
How do you multiply three or more fractions together?
What is the easiest way to check if your fraction multiplication is correct?
Can fraction multiplication be visualised?

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