crct test prep. parts of a whole parts of a whole can be expressed as a fraction or a decimal....
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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