Corbett Maths Multiply Fractions Textbook

The Corbett Maths multiply fractions textbook is a set of printable PDF exercises and answers from Corbettmaths.com, designed to teach and practice multiplying fractions. You access it as a free downloadable worksheet with a corresponding answer sheet, and it covers proper fractions, mixed numbers, and worded problems. The resource is widely used by students, teachers, and parents for homework, revision, or extra practice.

Formula

The rule for multiplying two fractions is straightforward: multiply the numerators together and multiply the denominators together. For fractions a/b and c/d, the product is (a × c) / (b × d). After multiplying, simplify the result by dividing the numerator and denominator by their greatest common factor (GCF). For mixed numbers, convert them to improper fractions first, then apply the same rule.

Variables:

• a = numerator of the first fraction
• b = denominator of the first fraction (not zero)
• c = numerator of the second fraction
• d = denominator of the second fraction (not zero)

Worked Example

Using the default values from the calculator: multiply 3/4 by 2/5.

1. Multiply the numerators: 3 × 2 = 6.
2. Multiply the denominators: 4 × 5 = 20.
3. The product is 6/20.
4. Simplify: the GCF of 6 and 20 is 2, so 6/20 ÷ 2/2 = 3/10.
5. Final answer: 3/10.

The calculator shows 3/10 as the simplified result, matching the manual calculation.

What the Corbett Maths Textbook Contains

The multiply fractions textbook is one of many “Textbook Exercise” resources on Corbettmaths. Each one is a single PDF with a set of questions, usually arranged in increasing difficulty. Typical sections include:

• Multiplying simple proper fractions (e.g., 1/2 × 3/4)
• Multiplying fractions that need simplifying after the product
• Multiplying mixed numbers (e.g., 1 1/2 × 2 1/3)
• Word problems involving fractions, such as finding a fraction of a quantity
• Multiplication with whole numbers written as fractions (e.g., 4 × 2/5)

The textbook is designed for self-study: you print it or view it on screen, work through the questions, then check your answers against the separate answer PDF. There are no worked solutions shown step-by-step, only final answers.

How to Use It Effectively

To get the most from the Corbett Maths multiply fractions textbook, follow a simple study routine:

1. Review the basic rule: multiply straight across, then simplify.
2. Attempt the first few questions without any help to gauge your starting level.
3. Work through the questions in order, writing each step down.
4. Check your answers with the answer sheet after each set, not after the whole page.
5. For mistakes, redo the question from scratch, identifying where the error occurred.
6. If you struggle with mixed numbers, convert them to improper fractions before multiplying.

Teachers often assign specific question numbers as homework, and parents use the answer sheet to mark work quickly. The resource is free, so you can reprint it as many times as needed.

Common Mistakes and Misconceptions

Many learners make predictable errors when multiplying fractions. The most common is cross-multiplying or cross-cancelling incorrectly. Unlike adding fractions, multiplication does not require a common denominator. Another frequent mistake is forgetting to simplify the final answer – for example, leaving 6/20 instead of reducing it to 3/10.

With mixed numbers, a common error is multiplying the whole parts and the fractional parts separately (e.g., 1 1/2 × 2 1/3 = 2 + 1/6). That is incorrect. You must convert to improper fractions first: 3/2 × 7/3 = 21/6 = 3 1/2. Also, when multiplying a whole number by a fraction, write the whole number as a fraction with denominator 1 (e.g., 4 = 4/1).

Comparing the Textbook to Other Resources

The Corbett Maths multiply fractions textbook is a no-frills worksheet. It does not include video explanations or interactive feedback. For those, you might use Corbettmaths’ video tutorials (free on the same site) or the GCSE revision cards. Compared to paid workbooks, the textbook is less polished but equally effective for practice. It is also more focused than general math worksheets, which often mix topics.

If you need step-by-step worked examples, the Corbett Maths “Workout” questions (found in the same PDF) sometimes include a few worked answers, but the textbook itself only gives final answers. For a fully guided approach, you could use the accompanying video before attempting the textbook.

Cost and Accessibility

The Corbett Maths multiply fractions textbook is completely free to download and print. You do not need an account or subscription. The PDFs are hosted on the Corbettmaths website, which is a UK-based resource created by a maths teacher. The site is ad-supported but does not require payment for any of its worksheets. The answer sheet is also free, which is unusual for many educational sites that charge for answer keys.

The textbook is accessible on any device with a PDF reader, including phones, tablets, and computers. Print quality is good, with clear fonts and adequate spacing for working out. The language is British English, so terms like “simplify” are used instead of “reduce,” but this does not affect understanding.

Frequently Asked Questions

Where do I find the Corbett Maths multiply fractions textbook?
Go to the Corbettmaths website and search for “multiplying fractions textbook.” The PDF is listed under the “Textbook Exercise” section. You will see two links: one for the questions and one for the answers. Both are free to download.

Does the textbook include answers?
Yes, a separate answer PDF is provided for every textbook exercise on Corbettmaths. The answers are final values only, not step-by-step solutions. You can download the answer sheet from the same page as the questions.

Is the Corbett Maths multiply fractions textbook suitable for primary school students?
Yes, it is commonly used in UK Key Stage 2 and Key Stage 3 (ages 9-14). The early questions are simple enough for upper primary, while the mixed number questions are more suited to secondary school. Parents can also use it for home schooling.

How is multiplying fractions different from adding fractions?
When multiplying, you do not need a common denominator. You simply multiply the numerators and multiply the denominators. When adding, you must first find a common denominator. This is the key difference that confuses many students.

What is the easiest way to simplify a fraction after multiplying?
Find the greatest common factor (GCF) of the numerator and denominator, then divide both by that number. For example, 6/20 simplifies to 3/10 because the GCF of 6 and 20 is 2. You can also cross-cancel before multiplying, but that is an optional shortcut.

Can I use the calculator on this page to check my textbook answers?
Yes. Enter the two fractions you multiplied, and the calculator will give the simplified product. It is a quick way to verify your work, especially for mixed numbers where you must first convert to improper fractions.

Related

• How Is Frequency Calculated? Formula & Units
• Probability Tree Diagram Questions Explained
• dBm to Watts Table: Quick Conversion Reference

in a | First fraction numerator | - | 3 | 0
in b | First fraction denominator | - | 4 | 1
in c | Second fraction numerator | - | 2 | 0
in d | Second fraction denominator | - | 5 | 1
out result | Product (simplified) | - | (a*c)/(b*d) | 4