 # By: Ms. J. Godfrey © 2012 J. Godfrey. A fraction is a portion of a number that represents a part of a whole. It is written a b FRACTION.

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By: Ms. J. Godfrey © 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. 7610 3210 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 3 Step 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 3 Step 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

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