by: ms. j. godfrey © 2012 j. godfrey. a fraction is a portion of a number that represents a part of...
TRANSCRIPT
By: Ms. J. Godfrey
FRACTIONS, DECIMALS, AND PERCENT
© 2012 J. Godfrey
A fraction is a portion of a number that represents a part of a whole. It is written a
b
FRACTION
• Numerator – the top number (describes how many are included)
• Denominator – the bottom number (describes how many are in all)
3 Numerator 4 Denominator
PARTS OF A FRACTION
• Improper fraction – A fraction in which the numerator is larger that the denominator.
Ex. 7 6 103 2 10
TYPES OF FRACTIONS
• Mixed number – A mixed number is a whole number and a fraction put together.
Ex. 2 1 3 5 2 8
TYPES OF FRACTIONS
• Changing an improper fraction to a mixed number
Ex 4 3Step 1: Rewrite the fraction to complete long division. (The denominator into the numerator)
Step 2: Divide the fraction (do not add a decimal or zeros).
CONVERTING IMPROPER FRACTIONS TO MIXED
NUMBERS
Step 3: Identify the parts of the division problem and re-write it as a missed number.
CONVERTING IMPROPER FRACTIONS TO MIXED
NUMBERS
• Changing a mixed number into an improper fraction
Ex 7 2 5
Step 1: Multiply the whole number (7) by the denominator (5).
7 x 5 = 35
Step 2: Add the product (35) to the numerator (2).
35 + 2 = 37
Step 3: Place the sum (37) over the denominator (5)
37 5
CONVERTING MIXED NUMBERS TO IMPROPER
FRACTIONS
• Changing a decimal to a percent.
28%
• Step 1: Move the decimal two place values to the left.
* Add zeros as needed.
*If you don’t see a decimal, it is located behind the last number (in front of the percent sign.)
.28
• Step 2: Drop the percent sign.
• Ex. 76.5% = .765
• Ex. 2% = .02
CONVERTING A PERCENT TO A DECIMAL
• Changing a percent to a decimal.
2.5
• Step 1: Move the decimal two place values to the right.
* Add zeros as needed.
*If you don’t see a decimal, it is located behind the last number
250%
• Step 2: Add the percent sign.
* Leave the decimal if there are numbers behind the decimal after you move it.
* Drop the decimal if there are no numbers behind the decimal after you move it.
• Ex. .57 = 57%
• Ex. 5.3875 = 538.75%
CONVERTING A DECIMAL TO A PERCENTS
• Changing a fraction to a decimal 2 3Step 1: Rewrite the fraction to complete long division. (The denominator into the numerator)
Step 2: Place a decimal behind the last number in the dividend and directly above the decimal in the quotient.
CONVERTING FRACTIONS TO DECIMALS
Step 3: Add three zeros behind the decimal in the dividend.
Step 4: Complete the division problem using DMSB, divide, multiply, subtract, and bring down.
CONVERTING FRACTIONS TO DECIMALS
• Repeating decimals – a decimal that has one or more digits that repeat for ever.
- Place a line only over the number that is repeating.
_• Ex 1: 0.6666666 = 0.6 _• Ex 2: 0.2766666 = 0.276 __• Ex 3: 0.35767676= 0.3576
REPEATING DECIMALS
• Changing a decimal to a fraction.
.9 = nine tenths
• Step 1: Use the actual number as the numerator.
9
• Step 2: place the value of the last digit (non-zero) as the denominator.
9_ 10
• Step 3: Reduce if needed.• Ex1. .27 = 27 Ex 2. .233 = 233 100 1000
CONVERTING DECIMALS TO FRACTIONS