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## Fraction Concepts

### Mathematics, Grade 4

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Mixed Numbers & Impr oper Fractions Fractions in Simplest Form To subtract fractions with the same denominator: + = = 3 6 2 6 5 6 = + 2 6 5 6 + 3 8 2 8 1 8 = 3 8 2 8 1 8 = Parts of a Whole Part of a Group A fraction is used to describe a part of a whole. A fraction can also describe part of a group or set. Equivalent fractions are fractions with different numerators and denominators but have the same value. To find an equivalent fraction, multiply or divide the numerator and denominator of a fraction by the same number. Equivalent Fractions To find the simplest form of a fraction, keep dividing until 1 is the only number that divides both the numerator and denominator. Fractions in Simplest Form Improper Fractions & Mixed Numbers 8 16 4 8 2 4 1 2 = = = = = = ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 6 16 6 16 3 8 3 8 = = 2 4 2 4 1 2 1 2 = = 10 3 1 3 6 16 6 16 3 8 3 8 = = x2 x2 x2 x2 2 4 2 4 1 2 1 2 = = ÷2 ÷2 ÷2 ÷2 2 6 green sections (numerator) total number of sections (denominator) 5 12 apples (numerator) total number of fruit (denominator) divide the numerator by the denominator write the remainder as the numerator of the mixed number To change an improper fraction to a mixed number: improper fraction mixed number = 3 1 whole 3 3 ( ) 1 whole 3 3 ( ) 1 whole 3 3 ( ) of a whole 1 3 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 4 1 2 1 2 1 4 1 4 1 4 1 © Copyright NewPath Learning. All Rights Reserved. 93-4408 www.newpathlearning.com Fraction Concepts
Parts of a Whole Part of a Group A fraction is used to describe a part of a whole. A fraction can also describe part of a group or set. Equivalent fractions are fractions with different numerators and denominators but have the same value. To find an equivalent fraction, multiply or divide the numerator and denominator of a fraction by the same number. Equivalent Fractions To find the simplest form of a fraction, keep dividing until 1 is the only number that divides both the numerator and denominator. Fractions in Simplest Form Improper Fractions & Mixed Numbers 8 16 4 8 2 4 1 2 = = = = = = ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 ÷2 6 16 6 16 3 8 3 8 = = 2 4 2 4 1 2 1 2 = = 10 3 1 3 6 16 6 16 3 8 3 8 = = x2 x2 x2 x2 2 4 2 4 1 2 1 2 = = ÷2 ÷2 ÷2 ÷2 2 6 green sections (numerator) total number of sections (denominator) 5 12 apples (numerator) total number of fruit (denominator) divide the numerator by the denominator write the remainder as the numerator of the mixed number To change an improper fraction to a mixed number: improper fraction mixed number = 3 1 whole 3 3 ( ) 1 whole 3 3 ( ) 1 whole 3 3 ( ) of a whole 1 3 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 4 1 2 1 2 1 4 1 4 1 4 1 Key Vocabulary Terms denominator equivalent fraction fraction improper fraction mixed number numerator remainder simplest form © Copyright NewPath Learning. All Rights Reserved. 93-4408 www.newpathlearning.com Fraction Concepts \|xiBAHBDy01646lz[