fractions. fractions- equal parts of a whole numerator denominator parts/pieces you are looking for...

Fractions

Fractions- equal parts of a whole

NumeratorDenominator

Parts/pieces you are looking forTotal number of pieces/parts

=

34

Ex) w

Improper Fractions &Mixed Numbers

Improper Fractions- numerator larger than denominator

54

Ex)

Mixed numbers- whole number and a fraction

14

Ex) 3Total number of completely colored shapes

Number of pieces left over w

w

w1

14

2

3

Changing Mixed Numbers to Improper Fractions

1.Multiply the whole number by the denominator

2.Add that to the numerator

3.Keep the denominator the same

4.Write the total as the new numerator

143 x

+ 3 x 4 + 1 = 13 4

Ex)

Try Some

5721.)

234

2.)

385

3.)

x+

x+

x+

2 x 7 + 5 = 19 7

4 x 3 + 2 = 14 3

5 x 8 + 3 = 43 8

Changing Improper Fractionsto Mixed Numbers

1.Divide the numerator by the denominator

2.The answer is the whole number

3.The remainder is the numerator

4.Keep the denominator the same

15316

5

35 16 -15 1

Whole #

numerator

Ex)

Try Some1451.)

3532.)

196

3.)

21 4

18 5

55 9

5 4 21 -20 1 3

5 18 -15 3 6

9 55 -54 1

Golden Rule of fractions

What you do to the numerator you do the denominator and vice versa

Equivalent FractionsFractions that are equal

1 = 25 10

Ex)*think multiplication*

What times 7 = 21

2 =7 21

x 3x 3

6

Try Some4 = 9 36

1.) 4 =9 36

X 4X 4

16

15 = 35 7

2.)

5 = 10 12

3.)

15 =35 7

x 5x 5

3

5 = 1012

x 2x 2 24

Simplifying Fractions

To make fraction the smallest it can go

210

Ex)

*reduce, simplify and lowest terms*

812

46

1. Divide by the common factor

Hint: Start with 2, 3, 5, 7, 11

÷ 2÷ 2

= 1 5

Ex) ÷ 2÷ 2

÷ 2÷ 2

23