Numerator Fraction Denominator Fractions Represent Division 6 3
- Slides: 10
Numerator Fraction = Denominator
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 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 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 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* +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 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 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. 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 • 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.
- Similar fraction
- Dividing numerator by denominator
- Dividend numerator
- Numerator denominator whole number
- Numerator adalah
- Can rational numbers be negative decimals
- Var a b integer
- Numerator layout
- A percent is a fraction whose denominator is 100
- A percent is a fraction whose denominator is 100.
- Simplifying complex fractions examples