fractions, percentage and decimals

• Fractions


  A way of representing part of a whole
• Simplifying fractions


  1. Step 1: Find the highest common factor

  2. Step 2: Divide both the numerator and denominator by the common factor
• Converting mixed numbers to improper fractions

  1. Step 1: Multiply the whole number by the denominator

  2. Step 2: Add the numerator

  3. Step 3: Place this over the denominator
• Adding and subtracting fractions

  1. Step 1: Find the common denominator

  2. Step 2: Add/subtract the numerators

  3. Step 3: Place over the common denominator
• Multiplying and dividing fractions

  1. Step 1: Multiply the numerators

  2. Step 2: Multiply the denominators
• Converting between fractions, decimals and percentages

  1. Fractions to decimals: Divide the numerator by the denominator

  2. Fractions to percentages: Make the denominator 100 and use the numerator

  3. Decimals to fractions: Make the denominator a power of 10

  4. Decimals to percentages: Multiply by 100

  5. Percentages to fractions: Write as a fraction over 100

  6. Percentages to decimals: Divide by 100
• Converting recurring decimals to fractions

  1. Step 1: Let the recurring decimal = x

  2. Step 2: Multiply by the power of 10 to get rid of the decimal

  3. Step 3: Subtract the original equation

  4. Step 4: Solve for x
• Calculating percentage increases and decreases

  1. Increase: Original value x (1 + percentage increase)

  2. Decrease: Original value x (1 - percentage decrease)
• Percentage


  A way to express a number by dividing it by 100
• Inverse of Percentage Multiplier

  1. Step 1: 1 - 0.16 = 0.84

  2. Step 2: 42.60 / 0.84 = 50

  3. Step 3: Check answer £50 x 0.84 = 42.60
• Enlarging Shapes by a Fraction

  When you enlarge a shape by a fraction, the shape gets smaller. You divide the original measurements by the fraction.