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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
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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.
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).