What Fraction Is Equivalent To 6/8

Equivalent fractions will be outlined as a fraction that will have completely different numerator and denominator, yet they represent the same value. For example, 9/12 and 6/8 are equivalent fractions because the result of each fraction is 3/4 when simplified. Explore the given lesson to get a deeper concept of how to detect equivalent fractions and how to check if given fractions are equivalent. Read: Fraction Equivalent to 6/8 1. What is an Equivalent Fraction? 2. How to discover equivalent fractions? 3. How to decide if two fractions are equivalent? 4. Equivalent Fractions Chart 5. Equivalent Fractions FAQ Two or more fractions are said to be equivalent if they equal the same fraction when simplified. For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which, when simplified, end up in the identical fraction, that is, 1/5.

Equivalent fraction definition

Contents

Equivalent fractionss is stated as these fractions have the same value regardless of their numerator and denominator. For example, each of 6/12 and 4/8 equals 1/2, which, when simplified, means that they are essentially equivalent.

Equivalent fraction example

Here are some examples of equivalent fractions.For example: 1/2, 2/4, 3/6 and 4/8 are equivalent fractions. Allow us to see how equal their values ​​are. We’ll represent every fraction as circles with shaded components. It can be seen that the shaded components in all figures represent an identical part if seen in its entirety.Right here, we will see that the amount of shading is the same in all circles. Therefore, 1/2, 2/4, 3/6 and 4/8 are equivalent fractions, the equivalent fractions would be written by multiplying or dividing each numerator and denominator by the same quantity. This is the explanation why these fractions are reduced to the same amount when they are simplified. Let us perceive 2 methods by which we will generate equivalent fractions:

  • Multiply the numerator and denominator by the same quantity.
  • Divide the numerator and denominator by the same quantity.
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Multiply the numerator and denominator by the same Quantity

To find equivalent fractions for any given fraction, multiply the numerator and denominator by the same quantity. For example, to find a fraction equivalent to 3/4, multiply the numerator 3 and denominator 4 by the same quantity, say, 2. Thus, 6/8 is an equivalent fraction of 3/4. We will discover another equivalent fraction by multiplying the numerator and denominator of the given fraction by an identical quantity.

  • 3/4 = (dfrac {3 cases 3} {4 cases 3}) = 9/12
  • 3/4 = (dfrac {3 cases 4} {4 cases 4}) = 12/16
  • 3/4 = (dfrac {3 cases 5} {4 cases 5}) = 15/20

Read more: What do purple and pink make? Thus, the equivalent fractions of 3/4 are 6/8, 9/12, 12/16 and 15/20.

Divide the numerator and denominator by the same Quantity

To find equivalent fractions for any given fraction, divide the numerator and denominator by the same quantity. For example, to discover an equivalent of 72/108, we will first explore their common components. We all know that 2 is the typical number of each 72 and 108. Therefore, an equivalent fraction of 72/108 will be discovered by dividing its numerator and denominator by 2. Thus, 36/ 54 is the equivalent fraction of 72/108. Let us see how the fraction is additionally simplified:

  • 2 is a typical problem of 36 and 54. Thus, 36/54 = (dfrac {36 div 2} {54 div 2}) = 18/27
  • Again, 3 is a typical problem of 18 and 27. Thus, 18/27 = (dfrac {18 div 3} {27 div 3}) = 6/9
  • Again, 3 is a typical problem of 6 and 9. Therefore, 6/9 = (dfrac {6 div 3} {9 div 3}) = 2/3

Then some equivalent fractions of 72/108 are 36/54, 18/27, 6/9 and a few of /3. Here, 2/3 is the simple type of 72/108 because there is no problem. Common themes (besides 1) of two and three. We want to simplify given fractions to discover if they are equivalent. The simplification to get the equivalents will be accomplished to the extent that to some extent each numerator and denominator must be integers. There are many strategies for establishing whether given fractions are equivalent. Some of them are:

  • Make the denominators identical.
  • Discover the decimal type of each fraction.
  • Cross multiplication method.
  • Visible methodology.
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Allows us to determine if 2/6 and 3/9 are equivalent fractions using each of those strategies.

Make the denominators identical

The denominators of the fractions, 2/6 and 3/9 are 6 and 9. Least common number (LCM) of the denominators 6 and 9 is 18. Allows us to reduce the denominator of each fraction 18. , by multiplying them together. with the correct numbers.

  • 2/6 = (dfrac {2 cases 3} {6 cases 3}) = 6/18
  • 3/9 = (dfrac {3 cases 2} {9 cases 2}) = 6/18

We will observe that each fraction is equivalent to the identical 6/18 fraction. Thus, the given fractions are equivalent.Observe: If the fractions are NOT equivalent, we check if the fraction is higher or lower by trying on the numerator of each resulting fraction. Therefore, this methodology can be used to evaluate fractions.

Discover the decimal type of each fraction

Lets us explore the decimal type of each fraction 2/6 and 3/9 to see if they have the same value.

  • 2/6 = 0.3333333…
  • 3/9 = 0.3333333…

The decimal values ​​of each fraction are identical dashes, they are equivalent.

Cross-multiplication technique

Read more: What was betty white’s last tweet To determine if 2/6 and 3/9 are equivalent, we cross-multiply them. If each good is identical, the fractions are equal.Equivalent fractions using cross multiplicationSince each of the goods listed here is 18, the fractions given are equivalent.

Visible technique

Lets us denote every fraction 2/6 and 3/9 pictorially on identical figures and check if the shaded parts of each fraction are equal.Equivalent fractions using the intuitive methodWe will see that the shaders of each circle describe the identical value. By different terms, it can be seen that the shaded components in each figure represent the identical part if seen as a whole. Therefore, the given fractions are equivalent. Diagrams and tables are sometimes used to represent ideas in a larger sense because they function as a useful reference for calculations and are simpler to perceive. Anchor charts and tables, like the one provided below, make it easier for scholars to perceive equivalent fractions. Allow us to use the next chart to discover equivalent fractions of 1/4.Equivalent Fraction DiagramFrom this graph we will see that the equivalent fractions of 1/4 are: 2/8, 3/12, 4/16, etc.Recommendations for equivalent fractions

  • Two fractions are said to be equivalent if their values ​​(decimal/graph) are the same.
  • Usually we multiply the numerator and denominator of a fraction by the same quantity to get its equivalent fraction.
  • The ‘cross multiplication method’ is used to decide if any two fractions are equivalent.
  • ‘Make the denominators identical’ is another method used to decide if two or more fractions are equivalent.
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  • Truncate fractions
  • Multiply fractions
  • Fraction addition
  • Division of fractions
  • Simplify fractions
  • Exact fractions

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