OCR GCSE MATHS 10.1 EQUIVALENT FRACTION(QUESTIONS AND ANSWERS)

10.1 EQUIVALENT FRACTIONS ©Cambridge University Press and OCR 2020 1 10 Fractions 10.1 Equivalent fractions • Factor means a number that divides exactly into another number without leaving a remainder. • Lowest Common Multiple means the smallest positive whole number that is a multiple of two or more numbers. • Mixed number is a number made up of a whole number and a fraction, e.g. . • Proper fraction has the numerator (top) less than the denominator (bottom), e.g. . • Improper fraction has the numerator (top) greater than the denominator (bottom), e.g. . • Cancel means divide the top and bottom of a fraction by a number that reduces the fraction to its lowest terms or simplest form. WORKED EXAMPLE Change the mixed number to an improper fraction. is the same as . As 1 is equivalent to , then 3 is equivalent to 3 lots of , i.e. . So, . The answer is . Exercise 1 1 Write each mixed number as an improper fraction. a b c d e 10.1 EQUIVALENT FRACTIONS ©Cambridge University Press and OCR 2020 2 2 Rewrite each fraction as an equivalent mixed number. a b c d e WORKED EXAMPLE Write as a mixed number. Solution Method 1 Find the multiple of 3 that is just less than 14, i.e. 12. Split into . The answer is . Method 2 remainder 2 So . The answer is . WORKED EXAMPLE Complete this statement to make a pair of equivalent fractions. Solution Looking at the bottom of the fractions, we notice that 12 is 4 times greater than 3. Multiplying the top and bottom of by 4 gives the equivalent fraction . Or and are equivalent fractions so . The value of ? = 8.