Year 5 Equivalent Fractions and Mixed Numbers: lesson and practice

By the end of this chapter you will be able to

• Find equivalent fractions with bars, number lines and by multiplying or dividing the top and the bottom by the same number, including tenths and hundredths
• Simplify a fraction by dividing the top and the bottom by a common factor
• Compare and order fractions (and mixed numbers) by changing them to a common denominator
• Change improper fractions into mixed numbers and mixed numbers into improper fractions, and see a fraction as a division
• Add and subtract fractions whose denominators are the same or multiples of one another
• Add and subtract mixed numbers, with and without crossing a whole number
• Multiply fractions and mixed numbers by whole numbers, and find fractions of amounts
• Solve word problems with bar models and explain your reasoning

You should already know

• Fractions of shapes, sets and amounts, and equivalent fractions in Year 4 (Year 4 Chapter 5)
• Adding and subtracting fractions with the same denominator
• Times tables and division facts to 12 × 12
• Factors and multiples (Year 5 Chapter 3)

Where this leads

• Decimals and percentages: tenths and hundredths as decimals (Chapter 7)
• Measures with fractions and decimals (Chapter 8)
• Adding and subtracting fractions with any denominators, and multiplying and dividing fractions in Year 6