The Lesson 4 Homework 5.3 is about fractions. The lesson is based on the Common Core State Standards Curriculum that can be a reference. To practice the lesson easily, you need to learn about a way of solving the questions correctly. Do not worry, in this page, we are going to share information about the answer key for Lesson 4 Homework 5.3.
The Answer Key of Lesson 4 Homework 5.3
- For thefirst question, you are going to ask to draw a picture by using the rectanguler fraction model and write the answer. When possible, you need to write your answer as mixed number.
Here are the answer key:
a)3/4 + 1/3 = 1 1/12
b)3/4 + 2/3 = 1 5/12
c)1/3 + 3/5 = 14/15
d)5/6 + 1/2 = 1 1/3
e)2/3 + 5/6 = 1 1/2
f)4/3 + 4/7 = 1 19/21
For the next questions, you are going to ask to solve the cases. You have to draw a picture and or write the number sentence which proves the answer.
- The second question:Samcreated 2/3 liter of punc, and 3/4 liter of tea to take to a birthday party. Now, you have to count how many liters of beverages did Sam bring to his party?
The answer of the second question is 1 5/12 liters
- The third question:Mr. Sinofsky use 5/8 of a tank of gas on his trip to visit family for the weekend, and another half of a tank commuting to work the next week. Then, he took another trip and used 1/4 tank of gas. So, how many tanks of gas did Mr. Sinofsky use althogether?
The answer of the third question is 1 3/8
What are Fractions?
The term of fraction represents a numerical quantity which is part of a whole object. We are able to understand fractions with an example. For instance, we have a large birthday cake and we cut the birthday cake into 8 equal slices. Then, each portion of the slice is just 1/8th of the total quantity of birthday cake. Here, 1/8 is a fraction.
We are able to say the top part of the fraction as the numerator, and the bottom part is the denominator. In this case, 1 is the numerator and 8 is the denominator. However, we do not always deal with whole objects in our day-to-day life. Occasionally, we are going to deal with the parts of whole objects. To quantify them, we are going to need fractions.
Types of Fraction
Now, let us see how many types of fractions are there. Based on the numerators and denominators, fractions are classified into the below types:
- Proper Fractions
Definition of Proper Fractions: When Numerator < Denominator. When the numerator of a fraction is less than the denominator, then the fraction is called a proper fraction.
The example of Proper Fractions: 4/7
- Improper Fractions
Definition of Improper Fractions: When Numerator > Denominator. When numerator is bigger than denominator, the fraction is called the improper fractions. Keep in mind that you are able to represent any natural number as an improper fraction as the denominator is always 1. Apart from that, all improper fractions also are either equal to or greater than 1.
The example of Improper Fraction: 9/7
- Mixed Fractions
Definition of Mixed Fractions: A fraction that consisting of a natural number and a fraction is called a mixed fraction. You are able to convert a mixed fraction into an improper fraction and also vice versa. Keep in mind that a mixed fraction is always greater than 1.
The example of Mixed Fractions: 2 2/5
- Like Fractions
Definition of Like Fractions: Fractions which have the same denominators are like fractions. For instance, the fractions 2/8, 3/8, 5/8, and 6/8 all have the same denominator – 8. Hence, those are like fractions. Simplification of like fractions is very easy. For instance, 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, (2/8) + (3/8) + (5/8) + (6/8) = (2 + 3 + 5 + 6)/8 = 16/8.
- 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. For note: Simplifications involving unlike fractions are not as easy as like fractions.
- Equivalent Fractions
Definition of Equivalent Fractions: Fractions which upon simplification gives the same value are called equivalent fractions. For instance, 1/2 and 50/100 are equal to 0.5. So, those are equivalent fractions.
- Unit Fractions
Definition of Unit Fractions: A fractions whose numerator is one and the denominator is a positive integer is called a unit fractions.
The examples of unit fractions: 1/2. 1.5, 2/8, etc.
Frequently Asked Questions about Fractions
In addition, we are going to share some of the frequently asked questions related to fractions and their types.
1: What are the types of fractions?
There are mainly 3 types of fractions: Proper Fraction, Improper Fraction and Mixed Fraction. Aside from that, there are some other types of fractions such as, unlike fractions, like fractions, equivalent fractions, and unit fractions.
2: What is an example of a fraction?
An example of a fraction is 4/9. We say that 4 is divided equally into 9 parts. 4 as numerator and 9 as denominator.
3: What is the difference between unlike and like fractions?
Fractions which have different denominators are unlike fractions, whereas fractions which have the same denominators are like fractions. For example, 1/6 and 2/5 are unlike fractions whereas 3/8 and 5/8 are like fractions
4: Can a mixed fraction be less than 1?
No, a mixed fraction is always greater than 1.
5: Define proper and improper fractions with the examples!
When the numerator of a fraction is less than the denominator, then it is called a proper fraction. For instance, 2/5. When the numerator of a fraction is greater than the denominator, then it is called an improper fraction. For example, 8/4.