Lesson 6 Homework Practice Divide Whole Numbers By Fractions Answers
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How to Divide Whole Numbers by Fractions: Lesson 6 Homework Practice Answers
Dividing whole numbers by fractions is a skill that you will need to master in 6th grade math. In this article, we will show you how to divide whole numbers by fractions using two methods: using a number line and using the reciprocal. We will also provide you with some practice problems and answers from Lesson 6 Homework Practice of the Common Core Standards.
Method 1: Using a Number Line
A number line is a visual tool that helps you see how fractions and whole numbers relate to each other. To divide a whole number by a fraction using a number line, you need to follow these steps:
Draw a number line and mark zero and one on it.
Divide the number line into equal parts based on the denominator of the fraction. For example, if you are dividing by 1/2, divide the number line into two parts. If you are dividing by 1/3, divide the number line into three parts.
Count how many parts of the fraction fit into one whole. This is your answer. For example, if you are dividing 3 by 1/2, count how many halves fit into 3. You will see that there are 6 halves in 3, so 3 divided by 1/2 is 6.
Here is an example of how to use a number line to divide 9 by 5/3:
You can see that there are three parts of 5/3 in one whole, so one divided by 5/3 is 3. To find how many parts of 5/3 are in 9, you need to multiply 3 by 9. You will get 27, so 9 divided by 5/3 is 27.
Method 2: Using the Reciprocal
The reciprocal of a fraction is another fraction that has the numerator and denominator switched. For example, the reciprocal of 1/2 is 2/1, and the reciprocal of 5/3 is 3/5. To divide a whole number by a fraction using the reciprocal, you need to follow these steps:
Write the whole number as a fraction with a denominator of one. For example, write 3 as 3/1.
Find the reciprocal of the fraction that you are dividing by. For example, find the reciprocal of 1/2, which is 2/1.
Multiply the two fractions together. To multiply fractions, you need to multiply the numerators and multiply the denominators. For example, multiply 3/1 by 2/1, which gives you 6/1.
Simplify the result if possible. To simplify a fraction, you need to divide both the numerator and denominator by their greatest common factor (GCF). For example, simplify 6/1 by dividing both numbers by their GCF, which is 6. You will get 1 as your answer.
Here is an example of how to use the reciprocal to divide 9 by 5/3:
You can see that multiplying by the reciprocal is equivalent to multiplying by three and dividing by five. You will get the same answer as using the number line method: 27.
Lesson 6 Homework Practice Answers
Now that you know how to divide whole numbers by fractions, you can try some practice problems from Lesson 6 Homework Practice of the Common Core Standards. Here are some problems and answers for you to check your work:
4 Ã (1/4)16
8 Ã (2/3)12 9160f4acd4