Equivalent Fractions And Simplest Form 6.1.1.4 Determine equivalences among fractions, decimals and percents; select among these representations to solve problems

I can… Calculate equivalent fractions Simplify fractions into simplest form Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, bit I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

Equivalent Fractions Equivalent Fractions name the same amount but have different numerators and denominators. They are sometimes called equal fractions. 1 2 1 1 = 4 2 4 2 1 4

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

Equivalent Fractions Identity Property states that any number multiplied by one equals itself This is useful to know so you can find a common denominator for adding and subtracting fractions.

Equivalent Fractions The Giant One is used to find equivalent fractions. It is also used to simplify fractions. The giant one works because of the Identity Property.

Identity Property Equivalent Fractions Many Forms Of The Giant One There are an infinite number of ways to write any fraction.

Equivalent Fractions

Equivalent Fractions

Equivalent Fractions To find equivalent fractions multiply the numerator and the denominator by the same number. 1 3 3 = 3 3 9 GIANT ONE

Equivalent Fractions Find 4 equivalent fractions for the fraction

To Put Fractions in Simplest Form: Find the greatest common factor of the numerator and the denominator and divide both the numerator and the denominator by that number. 12 6 2 ÷ = 18 6 3

Simplest Form When the only common factor of the numerator and the denominator is 1, the fraction is in simplest form. 3 1 3 ÷ = 4 1 4

Identify each fraction below. Simplest Form Identify each fraction below. Reduce!

Identify each fraction below. Simplest Form Identify each fraction below. Reduce!

Simplify the following fractions. Simplest Form Simplify the following fractions.

Simplify the following fractions. Simplest Form Simplify the following fractions.

Simplest Form Simplify the using GCF.

Let’s Review….

Equivalent Fractions A fraction shows: Numerator Parts Shaded Denominator Total Parts Equivalent fractions name the same amount or the same part of a whole. You use the giant one to show equivalent fractions. Ex:

Giant One/ Simplest Form The Giant One is used to reduce or simplify fractions. To find the simplest form divide the numerator and denominator by the greatest common factor.

I can… Calculate equivalent fractions Simplify fractions into simplest form Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, bit I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

Daily Check 5.3 in your math notebook