2. DEFINATION
Equivalent fractions are defined as those fractions which are equal
to the same value irrespective of their numerators and denominators.
For example, both 6/12 and 4/8 are equal to 1/2, when simplified,
which means they are equivalent in nature.
3. EXAMPLES OF
EQUIVALENT FRACTION
Here are some examples of equivalent fractions.
Example: 1/2, 2/4, 3/6, and 4/8 are equivalent fractions.
Solution:
Let us see how their values are equal. We will represent each of the fractions as
circles with shaded parts.
5. HOW TO FIND
EQUIVALENT FRACTIONS?
Equivalent fractions can be written by multiplying or dividing both the
numerator and the denominator by the same number. This is the reason
why these fractions get reduced to the same number when they are
simplified. Let us understand the two ways in which we can make
equivalent fractions:
Multiply the numerator and the denominator by the same number.
Divide the numerator and the denominator by the same number.
7. 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:
Making the denominators the same
Finding the decimal form of both the fractions
Cross multiplication method
Visual method
9. Equivalent Fractions Chart
Charts and tables are often used to represent concepts in a better
way since they serve as a handy reference for calculations and are
easier to understand. Anchor charts and tables, like the one given
below, make it easier for the students to understand equivalent
fractions. Let us use the following chart to find the equivalent
fractions of 1/4.
10.
11. SOME INPORTANT NOTES
Two fractions are said to be equivalent if their values (decimal/graphical) are the
same.
We usually multiply the numerator and denominator of a fraction by the same
number to get its equivalent fraction.
The "Cross multiplication method" is used to determine whether "any two
fractions" are equivalent or not.
"Making the denominators the same" is another method used to determine if
"two or more fractions" are equivalent.
12. QUESTION
What Is an Equivalent Improper Fraction?
An equivalent improper fraction means an equivalent fraction in an
improper form. A fraction is said to be improper when its numerator
is greater than its denominator. For example, 3/2 is an improper
fraction that is equivalent to 9/6.
13. QUESTION
What Does it Mean when Two Fractions are Equivalent?
When two fractions are equivalent, it means they are equal to the
same value irrespective of their different numerators and
denominators. In other words, when they are simplified they get
reduced to the same fraction.
14. WHY ARE EQUIVALENT
FRACTIONS IMPORTANT?
Equivalent fractions help us to add, subtract, multiply, and divide
fractions, compare fractions. and thus, solve many real-time problems.
15. WHAT ARE EQUIVALENT
FRACTIONS IN MATH?
• Two or more fractions are said to be equivalent if they are equal to
the same value irrespective of their numerators and denominators.
For example, 2/4 and 8/16 are equivalent fractions because they get
reduced to 1/2 when simplified.
16. Use the given numerators (N)/denominators (D) to find a fraction
equivalent to the given fractions.
17. To check if these two fractions are equivalent, we will make the
denominators the same by multiplication. The denominators of the
fractions 2/5 and 7/10 are 5 and 10. The LCM of the denominators
is 10. Let us make the denominators of both the fractions equal to 10,
by multiplying them with the suitable numbers: 2/5=
18. Here is a step by step process for you to
understand the process of simplifying a fraction.
Consider the fraction, 8/24 and follow the steps
mention below to understand how to simplify the
fraction 8/24.
Step 1: Write the factors of numerator and
denominator.
The factors of 8 and 24 are
Factors of 8: 1, 2, 4, and 8
Factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24
