Practice and Homework Lesson 7.2 is about fractions. The lesson is based on the Common Core State Standards Curriculum which can be a reference. To practice lessons easily, you should learn about a way of solving the questions properly. Do not worry, here we are going to share information about the answer key for Practice and Homework Lesson 7.2.
The Answer Key of Practice and Homework Lesson 7.2
Write the fraction as a sum of unit fractions!
- 4/5 = 1/5 + 1/5 + 1/5 + 1/5
- 3/8 = 1/8 + 1/8 + 1/8
- 6/12 = 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12
- 4/4 = 1/4 + 1/4 + 1/4 + 1/4
Write the fractions as a sum of fractions in 3 different ways.
- 7/10 =
2/10 + 3/10 + 2/10
4/10 + 2/10 + 1/10
5/10 + 1/10 + 1/10
- 6/6 =
4/6 + 1/6 + 1/6
2/6 + 2/6 + 2/6
3/6 + 2/6 + 1/6
- Miguel’s teacher asks him to colour 4/8 of his grid. He has to use three colours: Red, green and blue. There must be more green parts than red parts. So, how can Miguel colour the parts of his grid to follow all the rules?
The answer: 1/8 red, 1/8 blue, and 2/8 green.
- Petra is asked to colour 6/6 of her grid. She has to use three colours: Red, blue and pink. There must be more blue parts than red parts or pink parts. By the way, what are the different ways Petra can colour the sections of her grid and follow all the rules?
3/6 blue, 2/6 red and 1/6 pink
4/6 blue, 1/6 red and 1/6 pink
3/6 blue, 1/6 red and 2/6 pink
The Answer Key of Practice and Homework Lesson 7.3
Discover the sum. Use fractions to help.
- 2/6 + 1/6 = 3/6
- 4/10 + 5/10 = 9/10
- 1/3 + 2/3 = 3/3
- 2/4 + 1/4 = 3/4
- 2/12 + 4/12 = 6/12
- 1/6 + 2/6 = 3/6
- 3/12 + 9/12 = 12/12
- 3/8 + 4/8 = 7/8
- 3/4 + 1/4 = 4/4
- 1/5 + 2/5 = 3/5
- Lola walks 4/10 mile to her friend’s home. Then, she walks 5/10 mile to the store. So, how far does Lola walk in all?
The answer: 9/10 mile
- Evan eats 1/8 of a pan of pizza lasagna. Then, his brother eats 2/8 of lasagna. So, what fraction of the pan of pizza lasagna do they eat in all?
The answer: 3/8 of the pan
- Jacqueline purchases 2/4 yard of green ribbon and 1/4 yard of pink ribbon. So, how many yards of ribbon does she purchase in all?
The answer: 3/4 yard
- Shu mixes 2/3 pounds of peanuts with 1/3 pounds of almonds. By the way, how many pounds of nuts does Su mix in all?
The answer: 3/3 pound
Fraction represents a numerical quantity that is part of a whole object. Simply, you will be able to understand fractions with an example. For instance, you have a birthday cake and you cut the birthday cake into 7 equal slices. Then, each portion of the slice is just 1/7th of the total quantity of the birthday cake. Here, 1/7 is a fraction.
You are able to say that the top part of the fraction is the numerator, and the bottom part of the fraction is the denominator. In this example, 1 is the numerator and 7 is the denominator. However, you do not always deal with whole objects in your day-to-day life. Occasionally, you are going to deal with the parts of whole objects. To quantify them, you are going to need fractions.
Types of Fractions
At this time, let us see types of fractions. Based on the numerators and denominators, fractions are classified into some types below:
- Proper Fractions
Proper Fraction is when Numerator < Denominator. So, if you see the numerator of a fraction is less than the denominator, then you are able to call it a proper fraction. The example of Proper Fraction is 4/7
- Improper Fractions
Improper Fraction is When Numerator > Denominator. So, if you see the numerator is bigger than the denominator, then you are able to call it an improper fraction. You will be able to represent any natural number as an improper fraction because the denominator is always 1. Keep in mind that all improper fractions are equal to or bigger than 1. The example of Improper Fraction is 9/7
- Mixed Fractions
Mixed Fraction is a fraction which consists of a natural number and a fraction. You will be able to convert a mixed fraction into an improper fraction and vice versa. Remember that a mixed fraction is always greater than 1. The example of Mixed Fraction is 2 2/5
- Like Fractions
Like Fractions are fractions that have the same denominators. For example, the fractions 2/6, 3/6, 5/6, and 6/6 all have the same denominator – 6. Hence, those are called Like fractions. Simplification of like fractions is easy. For example, if you want to add that four fractions, all you have to do is add the numerators. The denominator is going to remain the same. So, (2/6) + (3/6) + (5/6) + (6/6) = (2 + 3 + 5 + 6)/8 = 16/6.
- Unlike Fractions
Definition of Unlike Fractions: Fractions which have different denominators are unlike fractions. For instance, the fractions 2/5 and 1/6 have different denominators. So, they are unlike fractions. Warning: Simplifications involving Unlike fractions are not as easy as Like fractions.
- Equivalent Fractions
Equivalent Fractions are fractions which upon simplification give the same value. The examples of equivalent fractions are 1/2 and 50/100.
- Unit Fractions
Unit Fractions are fractions whose one numerator and a positive integer denominator. Some examples of unit fractions are 1/2. 1.5, 2/8, etc.