Equivalent Fractions: Definition, Examples, Verification
- Fractions: The numbers of the form a b where a and b are non-zero integers, which are called fractions. …
- Types of Fractions: A fraction whose numerator is less than its denominator is called a proper fraction. …
- Solved Examples – Equivalent Fractions. …
- Summary. …
- Frequently Asked Questions (FAQs) What is 3 5 equivalent to as a fraction? …
How do you determine whether fractions are equivalent?
- Equivalent fractions may look different, but they have the same value.
- You can multiply or divide to find an equivalent fraction.
- Adding or subtracting does not work for finding an equivalent fraction.
- If you multiply or divide by the top of the fraction, you must do the same to the bottom.
How to understand equivalent fractions?
- For example: set 10 / 20 = 1 / 2.
- Cross multiply: 2 x 10 = 20 x 1.
- 20 = 20; therefore, the fractions are equivalent.
- Another example: 5 / 10 = 1 / 2.
- Cross multiply: 5 x 2 = 10 x 1.
- 10 = 10; therefore, the fractions are equivalent.
What are equivalent fraction explain with examples?
Equivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake. If you cut a cake into eight equal pieces and eat four of them, you will still have eaten half the cake.
What are some equivalent fractions?
Equivalent Fractions have the same value, even though they may look different. These fractions are really the same: 1 2 = 2 4 = 4 8. … Also see the Chart of Fractions with many examples of equivalent fractions. Dividing. Here are some more equivalent fractions, this time by dividing: ÷ 3 : ÷ 6 : 18 = 6 = 1: 36: 12: 2
How do you know equivalent fractions?
To find the equivalent fractions for any given fraction, multiply the numerator and the denominator by the same number. For example, to find an equivalent fraction of 3/4, multiply the numerator 3 and the denominator 4 by the same number, say, 2. Thus, 6/8 is an equivalent fraction of 3/4.
What is a equivalent fraction called?
The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same fraction after we simplify them.
What does equivalent mean in math?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). Examples.
Why do we need equivalent fractions?
Equivalent fractions are the same size, even though they have a different number of pieces. This gives students the opportunity to build concrete evidence of fraction equivalency before we move on to more abstract problems.
What is a equivalent to?
1 : equal in force, amount, or value also : equal in area or volume but not superposable a square equivalent to a triangle. 2a : like in signification or import. b : having logical equivalence equivalent statements.
What’s a equivalent ratio?
Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.
What are the different types of fractions?
In Maths, there are three major types of fractions. They are proper fractions, improper fractions and mixed fractions. Fractions are those terms which have numerator and denominator. Based on these two terms we define its types.
What is equivalent rational number?
Equivalent rational numbers: Two rational numbers are equivalent if their lowest form or standard form after reduction, is equal. In any rational number, its numerator and denominator are multiplied or divided by the same integer to give the equivalent rational number.
What are Equivalent Fractions?
In math, equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.
How many equivalent fractions can a child show?
Instead of handing out regular fraction worksheets to your children, ask your child to divide the pizza or pancakes such that he can show three equivalent fractions.
What are Equivalent Fractions?
Two or more fractions are said to be equivalent if they are equal to the same fraction when simplified. For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.
How to Determine if Two Fractions are Equivalent?
We need to simplify the given fractions to find whether they are equivalent or not. Simplification to get equivalent numbers can be done to a point where both the numerator and denominator should still be whole numbers. There are various methods to identify if the given fractions are equivalent. Some of them are:
How to write 6/8 as an equivalent fraction?
In order to write the equivalent fraction for 6/8, let us multiply the numerator and denominator by 2 and we will get (6 × 2)/ (8 × 2) = 12/16. Therefore, 6/8 and 12/16 are equivalent fractions. Now, let us get another equivalent fraction for 6/8, by dividing it by a common number, say, 2. After dividing the numerator and denominator by 2 and we will get (6 ÷ 2)/ (8 ÷ 2) = 3/4. Therefore, 6/8 and 3/4 are equivalent fractions.
How to multiply the numerator and the denominator?
Multiply the numerator and the denominator by the same number.
Is a decimal the same as a fraction?
The decimal values of both the fractions are the same and hence, they are equivalent.
Do equivalent fractions get reduced to the same fraction?
All equivalent fractions get reduced to the same fraction in their simplest form as seen in the above example. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.
How to make equivalent fractions?
Remember that we can form equivalent fractions by multiplying the numerator and denominator by the same number. If we multiply the denominator in 1/2 by 2, we’ll have a new denominator of 4, and the fractions will have the same denominator.
Why are equivalent fractions important?
Equivalent fractions are an important tool when adding or subtracting fractions with different denominators. Let’s look at an example: Johnny bought one half of a cake. He didn’t know that while he was out, his wife, Lyndon, bought one fourth of a cake.
What is the numerator of a fraction?
The numerator is the part of a fraction above the dividing bar. The denominator is the part of a fraction below the dividing bar. Equivalent fractions have different numerators and denominators, but the same value.
What happens when you cross multiply two fractions?
If we cross multiply two fractions, or multiply the numerator of each fraction by the other’s denominator , and the resulting products are equal , then the fractions are equivalent. As indicated by the colors, we’ll multiply the numerator of each fraction by the denominator of the other fraction.
What are the parts of a fraction called?
When we write a fraction, there’s always a number above the dividing bar and a number below the dividing bar. The upper number in a fraction is called the numerator. The lower number is called the denominator.
Which part of a fraction goes where?
An easy trick to remember which part goes where is that denominator and down both start with the letter ‘d,’ so the denominator is always the number that’s down in a fraction.
Do we need to review fractions before we define equivalent fractions?
It will benefit us to review some fraction terminology before we define equivalent fractions.
What are equivalent fractions in math?
Fractions are one of the most important foundational topics in math and students need to understand how to perform operations on fractions like adding and subtracting fractions and multiplying fractions. But, before students can understand fractions at an advanced level, it is critical that they have a strong grasp of equivalent fractions.
Why are all three fractions equivalent?
But why? The reason why they are equivalent fractions is because when you either (A) MULTIPLY or (B) divide both the numerator (top) and denominator (bottom) of each fraction by the same number, the fraction doesn’t change.
How to divide fractions by the same number?
Divide both the numerator (top) and denominator (bottom) of each fraction by the same number
How to find cross products of two fractions?
To find the cross products of two fractions, multiply the top of the first fraction by the bottom of the second fraction AND the bottom of the first fraction by the top of the second fraction.
Why are 4/6 and 2/3 equivalent fractions?
For example, 4/6 and 2/3 are equivalent fractions because they both represent “two thirds.”
How long is equivalent to 1 hour?
In real life, we often deal different values that can be considered equivalent or equal to each other. For example, we know that 60 minutes is equivalent to 1 hour and we also know that 16 ounces are equivalent to one pound.
When dividing, can you only work with results that are whole numbers?
When dividing, you can only work with results that are whole numbers (no decimals!). To test whether or not two fractions are equivalent, find the cross products. If the cross products are equal, then the fractions are equivalent.