Fractions | Year 9 Mathematics (Cambridge) PDF Download

Fractions and Operations

• Fractions represent parts of a whole. The top number, called the numerator, indicates how many parts we have. The bottom number, called the denominator, tells us how many equal parts the whole is divided into.
• Example: In the fraction 3/4, 3 is the numerator and 4 is the denominator. This means we have 3 parts out of a total of 4.

Basic Operations with Fractions

Addition and Subtraction

• To add or subtract fractions, they must have the same denominator. If they do not, find a common denominator.
• Example:
  

Multiplication

• Multiply the numerators together and the denominators together.
• Example:
  

Division

• Multiply by the reciprocal of the divisor.
• Example:
  

Equivalent Fractions

Equivalent fractions are different fractions that represent the same value.

Finding Equivalent Fractions

• To find an equivalent fraction, multiply or divide both the numerator and the denominator by the same number.
• Example:
  
  

Converting Fractions, Decimals, and Percentages

Fractions, decimals, and percentages are different ways of expressing the same value.

Converting Fractions to Decimals

• Divide the numerator by the denominator.
• Example:
  

Converting Decimals to Fractions

• Write the decimal as a fraction with 1 as the denominator and then multiply numerator and denominator by 10 for each digit after the decimal point.
• Example:
  

Converting Fractions to Percentages

• Multiply the fraction by 100.
• Example:
  

Converting Percentages to Fractions

• Write the percentage as a fraction with 100 as the denominator and simplify.
• Example:
  

Solved Examples

• Convert 5/8 to a decimal.
  
• Convert 0.2 to a fraction.
  
• Convert 7/10 to a percentage.
  
• Convert 45% to a fraction.