Fractions

Fractions- equal parts of a whole Numerator Parts/pieces you are looking for = Denominator Total number of pieces/parts 3 4 Ex) w

Improper Fractions & Mixed Numbers Improper Fractions- numerator larger than denominator 5 4 Ex) Mixed numbers- whole number and a fraction 1 3 3 1 4 w w Ex) Number of pieces left over 1 4 2 w Total number of completely colored shapes

Changing Mixed Numbers to Improper Fractions Multiply the whole number by the denominator Add that to the numerator Keep the denominator the same Write the total as the new numerator 3 + 1 4 Ex) 3 x 4 + 1 = 13 4 x

Try Some 2 + 1.) 5 7 2 x 7 + 5 = 19 7 x 2.) 4 + 2 3 4 x 3 + 2 = 14 3 x 3.) 5 + 3 8 5 x 8 + 3 = 43 8 x

Changing Improper Fractions to Mixed Numbers Divide the numerator by the denominator The answer is the whole number The remainder is the numerator Keep the denominator the same 3 16 -15 1 3 16 5 Whole # Ex) 1 5 numerator

Try Some 5 4 21 -20 1 5 1 4 21 4 1.) 3 18 -15 3 18 5 3 5 2.) 55 9 6 9 55 -54 1 3.) 1 9 6

Golden Rule of fractions What you do to the numerator you do the denominator and vice versa

Equivalent Fractions Fractions that are equal 1 = 2 5 10 2 = 7 21 6 *think multiplication* What times 7 = 21 1 = 2 5 10 Ex) 2 = 7 21 6 x 3

Try Some 4 = 9 36 4 = 9 36 16 1.) X 4 15 = 35 7 15 = 35 7 3 x 5 2.) 5 = 10 12 5 = 10 12 x 2 3.) 24

Simplifying Fractions To make fraction the smallest it can go *reduce, simplify and lowest terms* Divide by the common factor Hint: Start with 2, 3, 5, 7, 11 8 12 4 6 2 3 Ex) ÷ 2 ÷ 2 2 10 ÷ 2 = 1 5 Ex)