Help your students prepare for their Maths GCSE with this free Improper Fractions and Mixed Numbers worksheet of 42 questions and answers
A proper fraction is one where the numerator is smaller than the denominator. A mixed number (sometimes called a mixed fraction) has both a whole number part and a proper fraction part. An improper fraction is one where the numerator is larger than the denominator ; they are informally known as top-heavy fractions.
In order to carry out fraction arithmetic it is useful to be able to convert a mixed number to an improper fraction, and vice versa. For example, to convert 2 and a fifth into an improper fraction we have to write the whole number 2 in fifths. We know that 5 fifths make a whole, so 10 fifths will make 2 whole numbers. Adding 10 fifths to 1 fifth we get 11 fifths, so 2 and the mixed number 2 and a fifth is equivalent to the improper fraction of 11 fifths.
In order to convert an improper fraction to a mixed number we need to divide the numerator by the denominator. For example, to convert 7 quarters from an improper fraction to a mixed number, we need to divide 7 by 4. 4 goes into 7 once leaving a remainder of 3 quarters. So the improper fraction of 7 quarters is equivalent to the mixed number 1 and 3 quarters.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensure a personalised revision programme that raises grades and boosts confidence.