Converting between Mixed Numbers and Improper Fractions Learning

Converting between Mixed Numbers and Improper Fractions

$Learning Objective • To convert between mixed numbers and improper fractions. Success Criteria •$

Learning Objective • To convert between mixed numbers and improper fractions. Success Criteria • To identify a mixed number and an improper fraction. • To change a mixed number to an improper fraction. • To change an improper fraction to a mixed number.

$Starter Sketch fraction diagrams to represent each of the following: Example answers: a) 1$

Starter Sketch fraction diagrams to represent each of the following: Example answers: a) 1 a) b) 2 b) c) 4 c) d) 3 d) e) 1 e) f) 7 f) g) 3 g) h) 13 h) 4 3 5 10 6 9 2 5

Improper Fractions (Top Heavy) We’ve just seen that: 3 = 2 1 = 12 13 = 5 Is there another way to write these? =2 3 5

$Improper Fractions Now you try. Write the following improper fractions as mixed numbers. You$

Improper Fractions Now you try. Write the following improper fractions as mixed numbers. You may need to draw your own fraction diagrams for question 5! 1) 14 3 =4 2 3 2) 7 =3 1 2 3) 18 5 =3 3 5 4) 19 =4 3 4 2 4 17 5 5) a) 6 = 2 6 15 1 b) 2 = 7 2 11 2 c) 3 = 3 3 27 7 d) 10 = 2 10

$The Rule To change an improper fraction to a mixed number: Step one Divide$

The Rule To change an improper fraction to a mixed number: Step one Divide the numerator by the denominator. Step two Write down the whole number. Step three Write the remainder as the numerator of the new fraction. The denominator stays the same.

Worked Example 1 21 = 54 4 21 ÷ 4 = 5 r 1

$Mixed Numbers Shade the fraction diagrams to represent the mixed numbers and write them$

Mixed Numbers Shade the fraction diagrams to represent the mixed numbers and write them as improper fractions. Once again, you may need to draw your own fraction diagrams for question 5! 1) 5 1 = 2 2) 2 1 = 7 1 5 7 3) 3 2 = 5 4) 2 3 = 4 1 7 5) a) 1 6 = 6 b) 4 2 3 = 1 4 3 c) 7 1 7 5 1 1 4 3 8 = 59 8 d) 3 9 10 = 39 10 1 1 2

$The Rule To change a mixed number to an improper fraction: Step one Multiply$

The Rule To change a mixed number to an improper fraction: Step one Multiply the whole number by the denominator. Step two Add this to the numerator. Step three Write this answer as the new numerator. The denominator stays the same.

Worked Example 25 4 3 7 = 7 3 × 7 = 21 21 + 4 = 25

Your Turn Work through the questions on the activity sheet, showing all your calculations. Extension: 2 Ben drinks 1 3 cans of energy drink every day. How many cans does he get through in a week? 2 13 × 7 = = 5 3 × 7 1 35 3 2 = 11 3 cans (or 12 cans)

Plenary The answer is 2 3. What is the question? 5