Adding & Subtracting Fractions
Mathematics, Grade 5
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2 8 2 8 6 8 6 8 4 8 4 8 + + + + = = = = = = = = = = = = 1 8 1 8 7 8 7 8 3 4 3 4 = = 1 4 1 4 1 8 1 8 3 8 3 8 = = 1 8 1 8 1 8 1 8 = = 3 12 3 12 6 12 6 12 9 12 9 12 - - - - + + + + - - - - 2 8 2 8 3 4 3 4 4 8 4 8 + + = = 1 8 1 8 7 8 7 8 6 8 6 8 + + = = 3 4 3 4 6 8 6 8 ÷2 ÷2 ÷2 ÷2 6 8 6 8 3 4 3 4 x2 x2 x2 x2 3 12 3 12 1 2 1 2 9 12 9 12 = = 1 2 1 2 6 12 6 12 ÷6 ÷6 ÷6 ÷6 -- 3 8 3 8 3 8 3 8 = = 2 8 2 8 1 8 1 8 3 8 3 8 -- = = 2 8 2 8 1 4 1 4 x2 x2 x2 x2 Adding Fractions with Like Denominators Subtracting Fractions with Like Denominators • Add the numerators. • Keep the denominators the same. • Simplify, if needed. • Subtract the numerators. • Keep the denominators the same. • Simplify, if needed. Adding Fractions with Unlike Denominators • Find equivalent fractions with the same denominator. • Add the numerators and place the sum over the same denominator. • Simplify, if needed. • Find equivalent fractions with the same denominator. • Subtract the numerators and place the difference over the same denominator. • Simplify, if needed. Subtracting Fractions with Unlike Denominators © Copyright NewPath Learning. All Rights Reserved. 93-4409 www.newpathlearning.com Adding & Subtracting Fractions
\|xiBAHBDy01635pzY 2 8 2 8 6 8 6 8 4 8 4 8 + + + + = = = = = = = = = = = = 1 8 1 8 7 8 7 8 3 4 3 4 = = 1 4 1 4 1 8 1 8 3 8 3 8 = = 1 8 1 8 1 8 1 8 = = 3 12 3 12 6 12 6 12 9 12 9 12 - - - - + + + + - - - - 2 8 2 8 3 4 3 4 4 8 4 8 + + = = 1 8 1 8 7 8 7 8 6 8 6 8 + + = = 3 4 3 4 6 8 6 8 6 8 6 8 3 4 3 4 3 12 3 12 1 2 1 2 9 12 9 12 = = 1 2 1 2 6 12 6 12 ÷6 ÷6 ÷6 ÷6 -- 3 8 3 8 3 8 3 8 = = 2 8 2 8 1 8 1 8 3 8 3 8 -- = = 2 8 2 8 1 4 1 4 Adding Fractions with Like Denominators Subtracting Fractions with Like Denominators • Add the numerators. • Keep the denominators the same. • Simplify, if needed. • Subtract the numerators. • Keep the denominators the same. • Simplify, if needed. Adding Fractions with Unlike Denominators • Find equivalent fractions with the same denominator. • Add the numerators and place the sum over the same denominator. • Simplify, if needed. • Find equivalent fractions with the same denominator. • Subtract the numerators and place the difference over the same denominator. • Simplify, if needed. Subtracting Fractions with Unlike Denominators Key Vocabulary Terms • add • fraction • denominator • numerator • difference • subtract • equivalent fraction • sum ÷2 ÷2 ÷2 ÷2 x2 x2 x2 x2 x2 x2 x2 x2 © Copyright NewPath Learning. All Rights Reserved. 93-4409 www.newpathlearning.com Adding & Subtracting Fractions
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