Fractions and DecimalsCRCT Test Prep

Parts of a WholeParts of a whole can be expressed as a

fraction or a decimal.Example 1:

This circle is divided into 4 parts. Shade 1 part to express ¼

Parts of a Whole ContinuedA decimal can also be used to express parts

of a whole.

.5 of this strip is shaded dark blue.

$0.90 is 9/10 of a dollar.

Solve

What fraction of the circle is shaded?

A. 3/8B. ½C. 5/8D. ¾

SolveMary had $.30. What fraction of a dollar is

that?A. 3/100B. 3/10C. 3.00D. 30

Parts of a groupFractions can be parts of a group.

There are 5 shapes total. 5 will be your denominator.

What fraction of the shapes are hearts?2/5What fraction of the shapes are smiley faces?3/5

Finding the Fraction of a GroupWhat is 1/3 of 6???

1st step: Think 3 x ____ = 6??? 22nd step: Multiply 2 x numerator, which is 1.

So 2 x 1 = 2Answer is 2.

SolveWhat is 3/5 of 10???

1st step: 5 x ___ = 10. 22nd step: 2 x 3 = 6

SolveWhat is 2/3 of 9??

Solve theseWhat is 4/5 of 20???

What is 3/8 of 24????

Equivalent FractionsLook at the strips.

What fraction is equal to ½???

4/5????

1/3????

How do I make an equivalent Fraction??3- = -4 8

Step 1: 4 to 8, Is it getting bigger or smaller. Bigger, so you multiply. 4 x __ = 8??? 2

Step 2: Now multiply the numerator (3) by 2. 3 x 2 = 6

¾ = 6/8

How do I make an equivalent fraction???4- = -12 6

Step 1: 12 to 6, Is it getting bigger or smaller. Smaller, so you divide. 12 divided by ____ = 6 (2)

Step 2: Now divide the numerator (4) by 2. 4 divided by 2 = 2

4/12 = 2/6

Comparing Fractions3 7- -5 9

Cross multiply, down to up.5 x 7 = 35; 9 x 3 = 27.7/9 is bigger

Try this:6 8- -9 10

1 4- -3 7

Putting Fractions in order, least to greatestUse cross multiplying to compare.

2 2 3- - -3 4 4

Try this7 4 9- - -9 6 10

9 4 7- - -12 10 8

Adding and subtracting fractionsWhen adding or subtracting fractions, add or

subtract the numerator. The denominator stays the same.

3 4 7- + - = -8 8 8

Try These:8 2- + - =12 12

5 3- - - =7 7

DecimalsRemember- the spot to the right of a decimal

is called a tenth.0.7 is called 7/10 or seven tenths0.4 is called 4/10 or four tenths4.2 is called four and two tenths or 4 2/109.3 is called nine and three tenths or 9 3/10

Comparing DecimalsWhich is bigger??0.3 or 0.6Think in terms of money- Which is bigger, 30

cents or 60 cents???0.7 or 0.10.4 or 0.60.1 or o.3

Comparing Fractions and DecimalsWhich is bigger, 4/10 or 0.7

Hint: Change 4/10 to a decimal to compare.0.7 is bigger.

Compare:0.5 or 8

- 10

Adding and Subtracting DecimalsLine up the decimal first:6.7 + 34.1