Converting Fractions to Decimals

This page provides a comprehensive guide on how to convert fractions to decimals without a calculator, which is an essential skill for students learning mathematics. The process is explained through various examples and a step-by-step approach.

The fundamental rule for converting fractions to decimals is to divide the numerator by the denominator. This method is illustrated through several examples, ranging from simple fractions to more complex ones.

Definition: A terminating decimal is a decimal that ends after a finite number of digits.

The page includes a table showing the decimal equivalents of common fractions:

• 1/3 = 0.33 (recurring)
• 1/4 = 0.25
• 1/2 = 0.5
• 1/10 = 0.1
• 1/100 = 0.01

Example: To convert 3/4 to a decimal, divide 3 by 4, which gives 0.75.

The guide then provides a series of exercises for students to practice converting fractions to decimals. These exercises include a variety of fractions, such as:

• 1/4 = 0.25
• 3/4 = 0.75
• 67/100 = 0.67
• 99/100 = 0.99
• 3/8 = 0.375
• 161/200 = 0.805
• 9/40 = 0.225
• 3/2 = 1.5
• 53/20 = 2.65
• 11/2 = 5.5

Highlight: The guide emphasizes that you can write a terminating decimal as a fraction with a denominator of 10, 100, 1000, etc.

This information is particularly useful for understanding terminating decimals as fractions in KS2 and provides a foundation for more advanced concepts in mathematics.

The page concludes with a progress indicator, allowing students to assess their understanding of the topic:

• "Had a go"
• "Nearly there"
• "Nailed it!"

This self-assessment tool helps students gauge their proficiency in converting fractions to decimals, encouraging them to practice more if needed.