Math, asked by varsharoy68, 2 months ago

convert the following fractions into like fraction
(1) 5/8 ,11/12 ,13/18 ,7/9​

Answers

Answered by rohitghos235
0

Answer:

8/5, 12/11,13/18,9/7

Step-by-step explanation:

this is the answers

Answered by Eutuxia
3

Before, finding the answer. Let's find out how we can find the answer.

  • Like fractions are the fractions which are the group of fractions that have the same denominator.
  • So, to find that, we have to convert the denominators to the Least common factor of the denominator.

__________________

Given :

  • 5/8, 11/12, 13/18, 7/9​

To find :

  • to convert the following fractions to like fraction.

Solution :

Let's find the LCM.

{ \begin{array}{c|c} \sf 8 & \sf{ 8,12,18,9 } \\ \cline{1-2} \sf 9 & \sf {1,12,18,9 } \\ \cline{1-2} \sf 2 & \sf{ 1,12,2,1 \\ \cline{1-2} \sf  6 & \sf{1,6,1,1} \\ \cline{1-2} \sf  & \sf{ } \sf{ 1,1,1,1 \\ \cline{1-2} \end{array}}

LCM = 8 x 9 x 2 x 6

        = 72 x 2 x 6

        = 144 x 6

        = 864

⇒ Converting to like fractions.

5/8 = (5 x 108/(8 x 108)

      = 540/864

11/12 = (11 x 72/(12 x 72)

       = 792/864

13/18 = (13 x 48)/(18 x 48)

        = 624/864

7/9​ = (7 x 96)/(9 x 96)

     = 672/864

Therefore, 5/8, 11/12, 13/18,7/9​ converted to like fraction is 540/864, 792/864, 624/864, and 672/864.

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