RN Multiplying fractions

To change the mixed number there are two whole numbers at 3 pieces each plus the 2 you already had. To multiply fractions any converted to fractions by placing them over one.
4 4 1 • • 3 8 8 3 • • 2 x + 8 3 2 3 = = Since multiplication is commutative, we can now simplify any numerator with any denominator. Now multiply across the top. Put the answer on top. Multiply across the bottom. Put the answer on bottom. Make sure the answer is simplified.
1 4 1 4 • • 3 8 1 1 1 1 ÷ 3 ÷ 8 • • 1 1 1 8 3 1 ÷ 3 ÷ 8 = or 4 =
To multiply fractions any converted to fractions by placing them over one.
To change the mixed number there is one whole number at 3 pieces plus the 2 you already had. 1 6 6 • • 1 x + 5 3 2 3 = =
Multiply across numerators. Record on top. Multiply across the denominators. Record on bottom. Make sure it is simplified. 1 2 6 1 ÷3 • • 5 1 5 3 = or 10 ÷3 = 1) 2) if there are others (one on top and one on bottom) that can simplify. 3) Multiply across the top. Record on top. 4) Multiply across the bottom. Record on bottom. 5) Make sure it is simplified. (If you did step 3 right, this will automatically happen.)6 6 1 ÷3 • • 3 + x 10 3 1 3 ÷3 = = 20 1 or 1) 2) if there are others (one on top and one on bottom) that can simplify. 3) Multiply across the top. Record on top. 4) Multiply across the bottom. Record on bottom. 5) Make sure it is simplified. (If you did step 3 right, this will automatically happen.)4 4 1 ÷2 • • 1 2 3 1 2 ÷2 = = 6 1 or 1) 2) 3) Multiply across the top. Record on top. 4) Multiply across the bottom. Record on bottom. 5) Simplified? Before it is simplified. After it is simplified. 6 6 1 1 ÷2 • • • 2 11 + x 11 3 4 ÷2 = = 33 1) 2) 3) Multiply across the top. Record on top. 4) Multiply across the bottom. Record on bottom. 5) Simplified? Before it is simplified. After it is simplified. 2 1 1 ÷2 • • • 2 5 5 1 2 ÷2 = = 5 or 1) 2) 3) Multiply across the top. Record on top. 4) Multiply across the bottom. Record on bottom. 5) Simplified? Before it is simplified. After it is simplified. 6 6 1 1 ÷3 • • • 1 2 3 ÷3 = = or 1) 2) 3) Multiply across the top. Record on top. 4) Multiply across the bottom. Record on bottom. 5) Simplified? Before it is simplified. After it is simplified. 3 1 ÷3 • • • 1 5 6 ÷3 = = Before it is simplified. After it is simplified. 6 + x 1 4 ÷5 ÷2 • • • 1 + x 1 5 ÷2 ÷5 = Before it is simplified. After it is simplified. 2 + x 1 4 ÷3 ÷4 • • • 1 + x 1 3 ÷4 ÷3 = Before it is simplified. After it is simplified. 2 3 4 ÷2 • • • 1 + x 1 5 ÷2 = Remember we only simplify if we can. Some do not simplify. The tops and the bottoms have no common factors other than one. 11 is relatively prime to 3 and 4 as is 5 to 4 and 3. This one does not simplify. 2 4 3 • • 1 2 3 = = Before it is simplified. After it is simplified. 5 + x 1 4 • • • 1 1 7 = Before it is simplified. After it is simplified. 5 + x 1 4 • • • 6 7 = 1) 2) 3) Multiply across the top. Record on top. 4) Multiply across the bottom. Record on bottom. 5) Simplified? Before it is simplified. After it is simplified. 3 ÷3 • • • 1 1 6 ÷3 = = Before it is simplified. After it is simplified. 3 3 4 • • • 1 3 5 = Before it is simplified. After it is simplified. 5 1 4 • • • 1 3 7 = Before it is simplified. After it is simplified. 1 4 • • • 1 3 7 =
1) Whole numbers to fractions. 2) 3) Multiply across the top. Record on top. 4) Multiply across the bottom. Record on bottom. 5) Double check for simplest form. 5 • • 1 3 7 = = Before it is simplified. After it is simplified. 6 • • • 2 3 4 = 4 1 • 7 3 = 3 2 • 7 3 = Before it is simplified. After it is simplified. 3 • • • 2 1 6 = Before it is simplified. After it is simplified. 4 4 5 • • • 4 1 6 = Before it is simplified. After it is simplified. 4 1 5 • • • 4 1 6 = After it is simplified. Simplify any top with any one bottom.oneBefore it is simplified. 1 1 3 • • • 1 1 4 • • • 10 9 = After it is simplified. Simplify any top with any one bottom.oneBefore it is simplified. 1 1 3 • • • 2 1 4 • • • 1 2 5 = After it is simplified. Simplify any top with any one bottom.oneBefore it is simplified. 3 1 3 • • • 1 1 4 • • • 10 9 = |

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