Fraction Foldable

Table of Contents

• Identifying Fractions• Equivalent Fractions• Simplest Form• Comparing Fractions• Ordering Fractions• Adding & Subtracting Fractions• Identifying Mixed Numbers• Adding & Subtracting Mixed Numbers• Identifying Improper Fractions• Converting Mixed Numbers & Improper

Fractions

Identifying Fractions

Page 1• Represent parts or pieces of a whole.• Shows the operation of division.

Numerator 5 Denominator 8*Draw a picture to represent this fraction.

Equivalent Fractions

• Fractions that show the same amount with a different amount of pieces. (equal)

• A fraction you get when you multiply or divide the numerator and denominator by the same number.

8 = 4 5 = 20 7x 3 = 32 ÷ 8 = 24 12 9 36 15x 3 72 ÷ 8

Simplest Form• Showing the same amount by using the least number

of pieces.

• Taking a fraction and dividing the numerator and the denominator by the same number (common factor) until you can’t divide anymore. Try finding the GCF to divide by!

12 ÷ = 64 ÷

*Draw a picture in your foldable book.

Comparing Fractions

• When the denominators are the same, just compare the numerators.

• When the numerators are the same, compare the denominators-the larger the denominator, the smaller the fractional pieces.

• When the numerators and the denominators are different, find a common denominator by creating equivalent fractions.

4 4 7 14 9 6

5 9 36 36 12 8

Ordering Fractions

• If the denominators are all the same, just compare the numerators and put them in order (least greatest).

• If the numerators are the same, compare the denominators and then put them in order. (just like <, >, or =)

• If necessary, make them all equivalent fractions and then put the original fractions in order.

Examples:

3 14 827 27 27

5 5 5 8 6 11

4 7 12 6 15 30

Adding & Subtracting Fractions

• Add or subtract only the numerators in the fractions because you can’t change how many pieces they were originally divided into.

2 + 5 = 36 - 18 = 10 10 72 72

Identifying Mixed Numbers

• Represented by a whole number and a fraction together.

• When there is more than a fraction shown or a whole.

• In a division problem, the quotient represents the whole number, the remainder represents the numerator, and the divisor represents the denominator.

= 1 ¾

Adding & Subtracting Mixed Numbers

• Add or subtract the fractions first, regroup into the whole number column, if necessary.

• Then add or subtract the whole numbers.

2 5 11 8 7

9 2 8 + 8

11 7 8

Improper Fractions

• When the numerator is larger than the denominator.

• Shows the a mixed number too! 7 pieces 4 total sections

Converting Mixed Numbers & Improper Fractions

• Changing a mixed number improper fraction. Magic “C” +

1 ¾ x 1 x 4 =4 4 + 3 = 7 7 4

*Always put the answer over the same denominator!

Converting Mixed Numbers & Improper Fractions

• Changing a improper fraction mixed number .

7 means 7 ÷ 4 = 1 R 3 1 ¾ 4 • The whole number in the quotient

becomes the “whole” part of the mixed number. The remainder becomes the numerator and the denominator stays the same (divisor becomes the denominator).