Topic 13

Topic 13

Fractions are division problems

•  $\frac{5}{5}$  = 5 $\div$  5 = 1

•  $\frac{7}{1}$  is the same as 7 $\div$  1 = 7

Multiple Choice

What whole number is equivalent to

 $\frac{8}{8}$  ?

• 8

• 1

Multiple Choice

What whole number is equivalent to

 $\frac{7}{1}$  ?

• 7

• 1

Multiple Choice

What whole number is equivalent to

 $\frac{5}{1}$  ?

• 5

• 1

Multiple Choice

What whole number is equivalent to

 $\frac{9}{9}$  ?

• 9

• 1

Multiple Choice

What whole number is equivalent to

 $\frac{3}{1}$  ?

• 3

• 1

Comparing fractions with the same numerator

• When 2 fractions have the same numerator, the fraction with the bigger denominator is SMALLER

•  $\frac{1}{4}$  is smaller than  $\frac{1}{2}$  

 $\frac{1}{2}$  is bigger than  $\frac{1}{4}$  

Look at the WHITE, UNSHADED part. When the circle is divided in  $\frac{1}{2}$  , the two pieces are larger than the pieces that are in an identical circle that is divided into 4 pieces, representing  $\frac{1}{4}$  .

Multiple Choice

Which fraction is LARGER?

• $\frac{1}{8}$

• $\frac{1}{5}$

Multiple Choice

Which fraction is LARGER?

•  $\frac{2}{6}$ 

•  $\frac{2}{7}$ 

Multiple Choice

Which fraction is LARGER?

•  $\frac{4}{7}$ 

•  $\frac{4}{9}$ 

Multiple Choice

Which fraction is LARGER?

•  $\frac{2}{6}$ 

•  $\frac{2}{4}$ 

Multiple Choice

Which fraction is LARGER?

•  $\frac{3}{4}$ 

•  $\frac{3}{6}$ 

Comparing fractions with the same denominator.

• If both of the fractions have the same denominator, then they are divided into the same number of pieces.

• Look at the numerator to determine which is larger.

Identical denominators

Both of the shapes are cut into the same number of pieces - 5.

If the criteria is which one has more pieces that are shaded blue, then to compare, we simply count how many are shaded blue in each pentagon.

Identical denominators

 $\frac{4}{5}$   $>$   $\frac{3}{5}$  

The first has 4 and the second has 3 shaded so the first one is larger. (Has a larger area that is shaded blue.)

Multiple Choice

Which fraction is SMALLER?

• $\frac{1}{3}$

• $\frac{2}{3}$

Multiple Choice

Which fraction is SMALLER?

•  $\frac{3}{8}$ 

•  $\frac{5}{8}$ 

Multiple Choice

Which fraction is SMALLER?

•  $\frac{4}{6}$ 

•  $\frac{3}{6}$ 

Multiple Choice

Which fraction is SMALLER?

•  $\frac{2}{5}$ 

•  $\frac{1}{5}$ 

Multiple Choice

Which fraction is SMALLER?

•  $\frac{6}{7}$ 

•  $\frac{7}{7}$