Multiplying Fractions Multiply fractions including improper fractions and mixed numbers If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk
Key vocabulary Numerator Denominator Mixed number Improper fraction Simplify
Fractions - introduction Which fraction is not equivalent to ¼ There are only black and green pens in a box. The ratio of the number of black to green is 2 : 5. What fraction of the pens are black? What fraction of the students in the class 11 A are girls? 2 7 15 29 ABCD is a square drawn accurately. What fraction of the square is shaded? Write 0. 075 as a fraction in its simplest form. 75 1000 = 3 40 There are 35 pens in a box. 15 are green and the rest are red. What fraction of the pens in the box are red? 20 35 = 4 7 48 64 + + = 4 64 1 64 53 64 3 4 + + 1 4 × 1 16 × 1 64 1 4 =161 1 4 = 1 64
How to multiply fractions The simplest operation to perform with fractions. Just multiply across. 2 7 = 3 9 2 x 3 7 x 9 = 6 = 2 63 21 4 5 = 4 30 = 2 15 1 6
How to multiply fractions We can cross-cancel to make things easier but you do not have to. We can just multiply the numerators and multiply the denominators. ÷ 7 = = 21 5 3 ÷ 5 15 10 7 ÷ 7 10 1 2 ÷ 5 6 10 = 1=6 1 Look diagonally to spot common factors
How to multiply fractions – mixed numbers Convert to improper fraction(s) first. 4 2 7 18 = 7 36 35 = 2 5 1 1 35
Practice solutions
Problem solving and reasoning Jane is going to lay laminate flooring in her front room. The length of the room is 2 m and the width is 1. 75 m. What is the area of the floor to be covered?