Operations with Mixed Numbers
Mathematics, Grade 5
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Addition Subtraction Multiplication Division + + Add Step 1 2 3 2 1 6 3 Multiply 1 4 2 1 4 2 9 4 2 3 – – Subtract 3 4 4 5 8 2 Find the least common denominator (LCD) of and . 2 3 1 6 Step 1 Find the LCD and write equivalent fractions. LCD of and is 8. Step 2 Subtract the fractions first, then the whole numbers. Simplify the difference, if necessary. 3 4 5 8 Step 2 Write equivalent fractions with a denominator of 6. Step 1 Write the mixed number as an improper fraction. Step 1 Write the mixed number as improper fractions. Step 2 Rewrite as multiplication using the reciprocal of the divisor. Step 3 Multiply the numerators and denominators and simplify. Step 4 Write as a mixed number. Step 2 Multiply the numerators and denominators of the two factors. Step 3 Simplify the product. Step 4 Write the product as a mixed number, if it is an improper fraction. Step 3 Add the fractions. Then add the whole numbers. Simplify the sum, if necessary. 2 3 1 6 2 3 2 = 4 6 2 x2 x2 3 4 4 = 6 8 4 – 5 8 2 1 8 2 x2 x2 1 6 3 + 5 6 5 x = m Divide 3 7 1 2 3 1 ÷ = n = = factor factor product quotient divisor dividend multiples of 3: 3,6,9,12,15... multiples of 6: 6,12,18,24... © Copyright NewPath Learning. All Rights Reserved. 93-4506 www.newpathlearning.com Operations with Mixed Numbers 1 4 2 = x 2 3 x 2 3 9 4 = 18 12 18 12 = 3 2 ÷6 ÷6 35 30 = 7 6 ÷5 ÷5 3 2 = 1 2 1 5 3 = 2 3 1 10 7 = 3 7 1 improper fraction mixed number 7 6 = 1 6 1 improper fraction mixed number 5 3 7 10 35 30 x =
Addition Subtraction Multiplication Division + + Add Step 1 2 3 2 1 6 3 Multiply 1 4 2 1 4 2 9 4 2 3 – – Subtract 3 4 4 5 8 2 Find the least common denominator (LCD) of and . 2 3 1 6 Step 1 Find the LCD and write equivalent fractions. LCD of and is . Step 2 Subtract the fractions first, then the whole numbers. Simplify the difference, if necessary. 3 4 5 8 Step 2 Write equivalent fractions with a denominator of 6. Step 1 Write the mixed number as an improper fraction. Step 1 Write the mixed number as improper fractions. Step 2 Rewrite as multiplication using the reciprocal of the divisor. Step 3 Multiply the numerators and denominators and simplify. Step 4 Write as a mixed number. Step 2 Multiply the numerators and denominators of the two factors. Step 3 Simplify the product. Step 4 Write the product as a mixed number, if it is an improper fraction. Step 3 Add the fractions. Then add the whole numbers. Simplify the sum, if necessary. 2 3 1 6 2 3 2 = 3 4 4 = – 5 8 2 1 6 3 + x = m Divide 3 7 1 2 3 1 ÷ = n = = factor factor product quotient divisor dividend multiples of 3: , , , , ... multiples of 6: , , , ... © Copyright NewPath Learning. All Rights Reserved. 93-4506 www.newpathlearning.com Operations with Mixed Numbers 1 4 2 = x 2 3 x = = = = 2 3 1 = 3 7 1 improper fraction mixed number 7 6 = improper fraction mixed number 5 3 7 10 x = Key Vocabulary Terms • addition • dividend • division • divisor • equivalent fraction • factor • fraction • improper fraction • least common denominator (LCD) • mixed number • multiplication • numerator • product • quotient • reciprocal • subtraction 35 30 = \|xiBAHBDy01657rzu
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