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After reading this text, and/or viewing the video tutorial on this topic, you should be able to: •recognize when two fractions are equivalent; •convert a fraction into its lowest form; •convert an improper fraction into a mixed fraction, and vice versa. Contents 1. Introduction 2 2. Equivalent fractions 4 3. Different types of fraction 5
Question 1: Match up the improper fractions and mixed numbers. Question 2: Arrange these improper fractions in order, starting with the smallest. Question 4: Gregory feeds his cat of a can of cat food each day. Work out how many cans of cat food are eaten each fortnight. Give your answer as a mixed number.
subtract mixed fractions by turning them into improper fractions. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature.
• Improper fractions have a numerator that is larger than the denominator. The number of parts wanted is greater than the number of equal parts in a whole. Improper fractions are greater than 1 whole. • Mixed numbers are fractions that involve wholes and parts e.g. 2 is 2 wholes and one half
Fractions that represent more than one whole thing are called improper fractions. They are also sometimes called top-heavy fractions because the top number is always bigger (or ‘heavier’) than the bottom number. To contrast with improper fractions, fractions that represent less than
Step 1: Keep the denominator the same. Step 2: Add or subtract the numerators. Step 3: If the answer is an improper form, reduce the fraction into a mixed number. Let’s draw a picture to see what this looks like. The 4 in the denominator tells us that each whole is cut into 4 equal portions.
Step 1: Convert all mixed numbers into improper fractions. Step 2: Check! Do they have a common denominator? If not, find a common denominator. Step 3: When necessary, create equivalent fractions. Step 4: Add or subtract the numerators and keep the denominator the same. Step 5: If the answer is an improper form, reduce the fraction into a mixed ...