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## Multiplying & Dividing Fractions

### Mathematics, Grade 4

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Modeling Multiplication Multiplying Fractions Modeling Division Dividing Fractions 2 3 3 4 = = 1 2 6 12 ÷6 ÷6 ÷6 ÷6 6 12 x 2 3 2 3 3 4 3 4 x x x = = Multiply 2 3 3 4 x Multiply 3 16 9 16 ÷ Divide 2 3 6 ÷ Divide Shade of the rectangle. Divide rectangle into thirds. Shade of the rectangle with a different color or pattern in the other direction. Step 1 3 4 Therefore, X = or 3 4 The answer of is in simplest form. 1 2 2 3 2 3 2 3 2 3 3 4 2 3 The overlapping sections (green) that are shaded twice show the product of x . There are 3 groups of in . Multiply the numerators. How many sets of are there in ? Step 2 Multiply the denominators. Step 3 Use the greatest common factor (GCF) to simplify the product, if necessary. The GCF of 6 & 12 is 6. 2 3 6 1 2 3 ÷ ÷ 6 1 3 2 x = Step 1 Write the whole number as a fraction. Step Dividend Divisor 2 Flip the divisor upside down to find the reciprocal. The reciprocal of is . Rewrite as multiplication using the reciprocal. Simplify before multiplying. Step 4 Step 3 6 12 3 16 3 16 3 16 3 16 9 16 9 16 3 16 9 16 6 12 1 2 Therefore, ÷ = 9 16 3 3 9 16 6 3 1 9 1 3 1 x = = 3 3 1 2 © Copyright NewPath Learning. All Rights Reserved. 93-4504 www.newpathlearning.com Multiplying & Dividing Fractions
Modeling Multiplication Multiplying Fractions Modeling Division Dividing Fractions 2 3 3 4 = = 6 12 x 2 3 3 4 x x x = = Multiply 2 3 3 4 x Multiply 3 16 9 16 ÷ Divide 2 3 6 ÷ Divide Shade of the rectangle. Divide rectangle into thirds. Shade of the rectangle with a different color or pattern in the other direction. Step 1 3 4 Therefore, X = or 3 4 The answer of is in simplest form. 1 2 2 3 2 3 2 3 2 3 3 4 2 3 The overlapping sections (green) that are shaded twice show the product of x . There are 3 groups of in . Multiply the numerators. How many sets of are there in ? Step 2 Multiply the denominators. Step 3 Use the greatest common factor (GCF) to simplify the product, if necessary. The GCF of 6 & 12 is 6. 2 3 ÷ ÷ x = Step 1 Write the whole number as a fraction. Step Dividend Divisor 2 Flip the divisor upside down to find the reciprocal. The reciprocal of is . Rewrite as multiplication using the reciprocal. Simplify before multiplying. Step 4 Step 3 3 16 9 16 9 16 3 16 9 16 Therefore, ÷ = 9 16 3 3 16 6 x = = Key Vocabulary Terms denominator divide divisor fraction greatest common factor (GCF) multiply numerator product reciprocal whole number © Copyright NewPath Learning. All Rights Reserved. 93-4504 www.newpathlearning.com Multiplying & Dividing Fractions \|xiBAHBDy01655nzW