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Example 7.3,4 a) Cross multiply 20 3/5 = “⎕” /20 with denominator 3 × 20 = “⎕” × 5 “⎕” = 3/5 × 20 “⎕” Find the equivalent fraction of 3/5: = 3 × 4 “⎕” = 12 Equivalent fraction = 𝟏𝟐/𝟐𝟎 Example 7.3 ,4 (b) Find the equivalent fraction of 9 3/5 = 9/”⎕” cross = 9 × multiply 3/5 5 “⎕ ” = (9 × 5)/3 “⎕” = 3 × 5 “⎕” = 15 Equivalent fraction = 𝟗/𝟏𝟓 Example 7.3 ,4 (c) Find the equivalent fraction of 3/5 with denominator 30 3/ 5 = ” ⎕” /30 Cross multiply 3 × 30 = “⎕” × 5 “⎕” = 3/5 × 30 “⎕” = 3 × 6 “⎕” = 18 Equivalent fraction = 𝟏𝟖/𝟑 7.3, find 27 27 /”⎕ » Cross multiplication 3 × ⎕ = 5 × 27 “⎕” = (27 × 5)/3 “⎕” = 9 × 5 “ Equivalent fraction of 3/5 by ⎕” = 45 Equivalent fraction = 𝟐🝕
Equivalent Fractions For 3 7
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Advertising display is our only source of income. Purchase a Black subscription to help create more content and view o… Equivalent fractions can have different numerators and denominators, but can be defined as fractions that represent the same value. For example, 9/12 and 6/8 are equivalent fractions because they both simplify to 3/4.
As shown in the example above, all equal parts reduce to the same fraction in their simplest form. Study the given lesson to get a better understanding of how to find equivalent fractions and how to check if given fractions are equivalent.
When two or more fractions are simplified, the fractions are equal if they are equal. For example, the equivalent parts of 1/5 are 5/25, 6/30 and 4/20, which simplify to give the fraction which is 1/5.
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Equivalent fractions are fractions that have the same value regardless of their numerator and denominator. For example, 6/12 and 4/8 both simplify to 1/2, which means they are similar in nature.
For example, 1/2, 2/4, 3/6 and 4/8 are equal fractions. Let’s see how their values are similar. We represent each of these parts as circles with shaded parts. It can be seen that the shaded parts of all images represent the same part when viewed as a whole.
Here we see that the shaded area is the same size in all rings. Therefore, 1/2, 2/4, 3/6, and 4/8 are equal parts.
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Equivalent fractions can be written by multiplying or dividing both the numerator and denominator by the same number. This is the reason why these fractions become the same number when simplified. Let’s understand how we can make equivalent fractions.
To find equivalent fractions for any fraction, multiply the numerator and denominator by the same number. For example, to find a fraction equal to 3/4, multiply the numerator 3 and the denominator 4 by the same number, say by 2. Thus, 6/8 is a fraction equal to 3/4. By multiplying the numerator and denominator of a given fraction by the same number, we can find several other equal parts.
To find equivalent fractions for any fraction, divide the numerator and denominator by the same number. For example, to find the equal part of 72/108, we first find their common factors. We know that 2 is a common factor of both 72 and 108. Thus, the fraction equivalent to 72/108 can be found by dividing its numerator and denominator by 2. So 36/54 is half of 72/108. Let’s see how to simplify the section.
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So some equal parts of 72/108 are 36/54, 18/27, 6/9, and 2/3. Here, 2/3 is a simplified form of 72/108 because 2 and 3 have no common factor (other than 1).
To find out whether the given parts are equal or not, you need to simplify them. A simplification to get even numbers can be done where both the numerator and denominator must be whole numbers. There are different ways to determine if given fractions are equal. Some of them are as follows:
The denominators of the fractions 2/6 and 3/9 are 6 and 9. The LCM of the denominators 6 and 9 is 18. We multiply the denominators of the two fractions by the corresponding numbers, making 18. .
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Notice that both fractions are equal to 6/18 of the same fraction. Thus, the given fractions are equal.
Note: If the fractions are not equal, we can check whether the fraction is larger or smaller by looking at the numbers of the two resulting fractions. So this method can also be used to compare fractions.
Let’s look at the decimal form of both 2/6 and 3/9 to see if they give the same value.
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To find out if 2/6 and 3/9 are equal, we cross them. If both products are equal, then the fractions are equal.
Let’s draw each of the parts 2/6 and 3/9 on identical shapes and verify that the shaded parts of both are the same.
We see that the shaded parts of both circles represent the same value. In other words, it can be seen that the shaded parts of the two figures represent the same part when viewed as a whole. Thus, the given fractions are equal.
Ex 7.3, 4
Graphs and tables are often used to better illustrate concepts because they act as a convenient reference for calculations and are easy to understand. Anchor charts and tables like the one below make it easy for students to understand equivalent fractions. Use the table below to find fractions equal to 1/4.
Two or more fractions are considered equivalent fractions if they have the same value regardless of their numerators and denominators. For example, 2/4 and 8/16 are equivalent fractions because they reduce to 1/2 when simplified.
There can be many examples of equivalent fractions, 8/12 and 6/9 are equivalent fractions because they reduce to the same fraction (2/3) when simplified. Similarly, 4/7 and 28/49 are also equal fractions.
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If the given fractions are simplified and reduced to a common fraction, then they can be called equivalent fractions. Apart from this, there are various other ways to find out whether the given fractions are equal or not. Some of them are as follows:
When two fractions are equal, it means they are equal to the same value regardless of their different numerators and denominators. In other words, when simplifying, they are reduced to the same fraction.
Equivalent fractions help us add, subtract, multiply, divide, and compare fractions, which helps us solve many real-time problems.
Solved Fill In The Blanks To Find The Equivalent Fraction.
An equivalent improper fraction is an equivalent fraction in improper form. A numerator is considered improper when its value is greater than the denominator. For example, 3/2 is an improper fraction equal to 9/6.
Any two fractions can be considered equal if they are equal to the same value. There are different ways to find out if fractions are equal. The main method is to reduce them. If they are reduced to the same fraction, then they are considered equal.
Equivalent fractions can be written by multiplying or dividing both the numerator and denominator by the same number. This is the reason why these fractions become the same number when simplified. For example, we write an equivalent fraction for 2/3. We multiply the numerator and denominator by 4 and get (2 × 4)/(3 × 4) = 8/12. Therefore, 8/12 and 2/3 are equal parts.
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To write an equivalent fraction for 6/8, we multiply the numerator and denominator by 2, so we get (6 × 2)/(8 × 2) = 12/16. therefore