Numerator Fraction Denominator Fractions Represent Division 6 3

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Numerator Fraction = Denominator

Numerator Fraction = Denominator

Fractions Represent Division • 6 ÷ 3 is the same as 6 3 the

Fractions Represent Division • 6 ÷ 3 is the same as 6 3 the fraction line means “divide” • Proper fraction – the numerator is smaller than the denominator. ex. • Improper fraction – the numerator is larger than the denominator. ex. • Mixed number – combination of a whole number and a part. ex. 12 3 • Equivalent Fractions – look different but represent the same amount, are equal when simplified. Multiply or divide the top and bottom of a fraction by the same number ex. 6 = 9 8 = 12 2 3 1 3 6 3

Simplifying Fractions • Divide by common factors to simplify fractions • The numbers cannot

Simplifying Fractions • Divide by common factors to simplify fractions • The numbers cannot be reduced (divided) down further • When simplified, numerator and denominator have a GCF of 1 Factors of 2: 1 x 2 Factors of 3: 1 x 3 Greatest Common Factor of 2 and 3 = 1 (in this case the only common factor)

Simplify Fractions Practice Write in Simplest Form by dividing by Common Factors. 18 24

Simplify Fractions Practice Write in Simplest Form by dividing by Common Factors. 18 24 9 15 2 3 ÷ 2= 9 12 ÷ 3= 3 4 3 5 Already Simplest Form, GCF of top and bottom = 1

Mixed Numbers and Improper Fractions Mixed Number: The sum of a whole number and

Mixed Numbers and Improper Fractions Mixed Number: The sum of a whole number and a fraction: 1+ 1 1 2 1 whole apple plus half an apple Improper Fractions: If all pieces were the same amount w/more parts than the whole 1 2 1 2 3 2 Three halves

Mixed Numbers to Improper Fractions *A mixed number can change into an improper fraction*

Mixed Numbers to Improper Fractions *A mixed number can change into an improper fraction* +1 54 multiply Multiply the whole and the denominator Then add the numerator 5 x 4 = 20 20 + 1 = 21 Last, put that number over the denominator 21 4

Improper Fractions to Mixed Numbers Divide the numerator by the denominator and leave the

Improper Fractions to Mixed Numbers Divide the numerator by the denominator and leave the remainder as a fraction. 23 6 Therefore, 6 23 6 3 23 18 5 5 6 is equal to Show remainder in fraction form How many sixths are left over, because 6 was the divisor 3 5 6

Comparing Fractions > < = • Least Common Denominator: the smallest multiple both denominators

Comparing Fractions > < = • Least Common Denominator: the smallest multiple both denominators have in common • compare the numerators ex. x 3 x 2 therefore

Fractions to Decimals 1. Identify the place value of the last decimal place. 2.

Fractions to Decimals 1. Identify the place value of the last decimal place. 2. Write as a fraction, with the place value as the denominator. 3. Simplify when appropriate Ex. 0. 5 Ex. 0. 224 Two hundred twenty four thousandths; the numerator is 224, the denominator is 1, 000 Ex. 1. 36 five tenths; the numerator is 5, the denominator is 10 One and thirty-six hundredths; The whole number is 1, numerator is 36, the denominator is 100

Fractions to Decimals • Divide the top number by the bottom number. OR •

Fractions to Decimals • Divide the top number by the bottom number. OR • If the denominator is a factor of a decimal place value (ex. A number that multiplies to 10, 1000, 10000 etc). Then you can write an equivalent fraction. Since 5 is a factor of 10, we can make an equivalent fraction with 10 as the denominator. 5 x 2 = 10, so 3 x 2 = 6.