Making Equivalent Fractions

1 2 = 2 4 Equivalent Fractions Name the same amount but have different numerators and denominators. 1 2 1 1 = 4 2 4 2 1 4

1 2 = 2 4 Equivalent Fractions Are sometimes called equal fractions: two or more fractions that name the same number. 1 2 1 1 = 4 2 4 2 1 4

Equivalent Fraction Models 1 2 3 = = 2 4 6

Equivalent Fraction Models 1 4 = 5 = 2 8 10

Equivalent Fraction Models 1 4 = 2 8

Equivalent Fraction Models 3 6 = 4 8

Equivalent Fraction Models 2 4 = 3 6

What are the missing numbers? 1 2 3 = = 2 4 6

What are the missing numbers? 1 4 = 5 = 2 8 10

What are the missing numbers? 1 4 = 2 8

What are the missing numbers? 3 6 = 4 8

What are the missing numbers? 2 4 = 3 6

To Find Equivalent Fractions Multiply the numerator and the denominator by the same number. 1 3 3 x = 3 3 9

To Find Equivalent Fractions Divide the numerator and the denominator by the same number. 4 4 1 ÷ = 12 4 3

To Make Equivalent Fractions Multiply the numerator and denominator by the same number. You will get a new fraction with the same value as the original fraction. We are not changing the value of the fraction, because we are simply multiplying by a fraction that is equivalent to ONE.

What do you get when you multiply a number by 1? You get that number! 5 x 1 = 5 7 x 1 = 7 37 x 1 = 37 23 x 1 = 23 17 x 1 = 17

All these fractions = 1 7 2 33 4 5 When the numerator & denominator of a fraction are the same, the fraction equals 1. 33 4 5

AN EQUIVALENT FRACTION adding & subtracting fractions What do you get when you multiply a fraction by 1? You get AN EQUIVALENT FRACTION that makes adding & subtracting fractions possible.

These fractions represent the same amount. x = This fraction equals 1. = These fractions represent the same amount.

These fractions represent the same amount. x = This fraction equals 1. = These fractions represent the same amount.

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 3 = We multiplied the numerator and denominator by ... x 3 3

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 4 = We multiplied the numerator and denominator by ... x 4 4

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 9 = We multiplied the numerator and denominator by ... x 9 9

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? ? x 3 = We multiplied the numerator and denominator by ... x 3 3

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 9 = We multiplied the numerator and denominator by ... x 9 9

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 3 = We multiplied the numerator and denominator by ... x 3 3

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 7 = We multiplied the numerator and denominator by ... x 7 7

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 5 = We multiplied the numerator and denominator by ... x 5 5

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 4 = We multiplied the numerator and denominator by ... x 4 4

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 5 We multiplied the numerator and denominator by ... = x 5 5

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 6 = We multiplied the numerator and denominator by ... x 6 6

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 9 = We multiplied the numerator and denominator by ... x 9 9

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 6 = We multiplied the numerator and denominator by ... x 6 6

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 4 = We multiplied the numerator and denominator by ... x 4 4

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 8 = We multiplied the numerator and denominator by ... x 8 8

Make An Equivalent Fraction Find the Missing Numerator! Given the new denominator, can you find the missing numerator? x 6 = We multiplied the numerator and denominator by ... x 6 6

Make Equivalent Fractions Find the Missing Numerators! Try these on your own. Make Equivalent Fractions Find the Missing Numerators! 44 12 A C = = 55 42 45 28 = D B = 54 63

Another way of looking at them. Equivalent fractions Another way of looking at them. 1 whole 1/2 1/4 1/8

They are equivalent fractions 1 whole ½ ½ ¼ ¼ ¼ ¼ 1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8 We can see that 1/1 = 2/2 = 4/4 = 8/8 They are equivalent fractions

We can see that 2/8 is the same length as 1/4 So 2/8 = 1/4 1 whole 1/2 1/4 1/8 We can see that 2/8 is the same length as 1/4 So 2/8 = 1/4 They are equivalent fractions

1/2 = 2/4 = 4/8 ½ ¼ ¼ 1 whole Which fractions are equivalent to ½? 1/8

Which of these fractions is equivalent to 1/4 ? 1 whole 1/2 1/4 1/8 Which of these fractions is equivalent to 1/4 ? 2/8 1/8 1/2

Whoops try again!

Well done! That's right

1 whole 1/2 1/4 1/8 Which of these fractions is equivalent to 4/8 ? 1/8 2/4 1/4

Whoops try again!

Well done! That's right

1 whole 1/3 1/6 1/12   =  1/3 2/6 4/12 Look at the equivalent fractions – each time the numerators double, the denominators also double. Which other fraction will be equivalent? 8/24 6/24 4/24

Whoops try again!

Think of a pizza cut into six pieces How many sixths are equivalent to ½?

Fractions One half – one part of two- Two quaters – two parts of four Four eighths – four parts of eight- Two quaters – two parts of four- One Half– One part of two-

What is the connection between the numerator and denomiator ? Fractions Therefore What is the connection between the numerator and denomiator ?

1 5 22 2 10 44  2  2  2 Fractions or Numerator X 2 X 2 X 2 Denominator The Denominator is double the Numerator or The Numerator is half the Denominator

Each one of these fractions is equal to d e ff b ch dd f g

Write the fractions that are equal to = =

Fractions 1 3 5 Numerator X 3  3 X 3  3 X 3  3 3 9 15 Denominator

Each one of these fractions is equal to b c ch d dd e f ff g ng h i l ll

Write the fractions that are equal to = =

Fractions X 2 X 4 2 4 16 5 10 40 X 2 X 4 To make equivalent fractions we must multiply both numbers by the same number

Each one of these fractions is equal to b c ch d dd e f ff g ng h i l ll

Fractions  2  3 2 4 12 5 10 30  2  3 To simplify fractions we must divide both numbers by the same number

Simplify each one of these fractions