Equivalent-And-Simplified-Fractions Edexcel Foundation

课 Progress

0% Complete

Exam code:1MA1

Equivalent fractions

What are equivalent fractions?

Equivalent fractions are two fractions that represent the same amount
- They are different ways of writing the same thing
- For example, $1 half$ and $6 over 12$ are equivalent fractions

How do I find an equivalent fraction?

To find an equivalent fraction, multiply the top and bottom of a fraction by the same number
- $5 over 6$ is equivalent to $fraction numerator 5 cross times 2 over denominator 6 cross times 2 end fraction equals 10 over 12$ and $fraction numerator 5 cross times 3 over denominator 6 cross times 3 end fraction equals 15 over 18$ and $fraction numerator 5 cross times 4 over denominator 6 cross times 4 end fraction equals 20 over 24$ etc.
- For each fraction, there are an infinite number of equivalent fractions

Examiner Tips and Tricks

Using equivalent fractions can help with shading parts of diagrams questions as well as adding and subtracting fractions without a calculator
- Remember that if you have your calculator in the exam you can use it to check your work

Simplifying fractions

What is a simplified fraction?

A simplified fraction is a fraction that is written using the smallest possible integer values
- Simplifying turns a fraction into an ‘easier’ equivalent fraction
If both the numerator and denominator can be divided by the same number (called a common factor), the fraction can be simplified
Simplifying is also called cancelling a fraction

How do I simplify fractions?

To simplify the fraction, divide the top and bottom by the common factor

<img alt=”12 over 18 equals fraction numerator 12 divided by 6 over denominator 18 divided by 6 end fraction equals 2 over 3″ data-mathml='<math ><semantics><mrow><mfrac><mn>12</mn><mn>18</mn></mfrac><mo>=</mo><mfrac><mrow><mn>12</mn><mo>÷</mo><mn>6</mn></mrow><mrow><mn>18</mn><mo>÷</mo><mn>6</mn></mrow></mfrac><mo>=</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”47″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2247%22%20width%3D%22131%22%20wrs%3Abaseline%3D%2230%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmn%3E12%3C%2Fmn%3E%3Cmn%3E18%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E12%3C%2Fmn%3E%3Cmo%3E%26%23xF7%3B%3C%2Fmo%3E%3Cmn%3E6%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E18%3C%2Fmn%3E%3Cmo%3E%26%23xF7%3B%3C%2Fmo%3E%3Cmn%3E6%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmath%3E–%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A’math168aae17e4d513c259172de8723’%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADxjdnQgDVUNBwAAAVgAAAA6Z2x5ZoPi2VsAAAGUAAABJWhlYWQQC2qxAAACvAAAADZoaGVhCGsXSAAAAvQAAAAkaG10eE2rRkcAAAMYAAAADGxvY2EAHTwYAAADJAAAABBtYXhwBT0FPgAAAzQAAAAgbmFtZaBxlY4AAANUAAABn3Bvc3QB9wD6AAAE9AAAACBwcmVwa1uragAABRQAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAA

Maths Gcse Edexcel Foundation

Equivalent-And-Simplified-Fractions Edexcel Foundation

Equivalent fractions

What are equivalent fractions?

How do I find an equivalent fraction?

Examiner Tips and Tricks

Simplifying fractions

What is a simplified fraction?

How do I simplify fractions?

Responses