Checking whether fractions are equivalent

Last updated at April 16, 2024 by

Let’s take an example

Check whether 1/2 , 128/256 are equivalent .

 

To check,

  we make both fractions equal.

  1/2 = 128/256

And then cross multiply

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1 × 256 = 128 × 2

      256 = 256

Since this is true

  1/2, 128/256 are equivalent

 

Check whether 1/ 3 , 99 /2 97 are equivalent.

To check,

  we make both fractions equal.

    1/3 = 99/297

And then cross multiply

Checking whether fractions are equivalent - Part 2

1 × 297 = 99 × 3

      297 = 297

 

Since this is true

 

  1/2, 99/297 are equivalent

 

Check whether 4 / 5 , 28 / 35 are equivalent.

To check,

  we make both fractions equal.

  4/5 = 28/35

And then cross multiply

Checking whether fractions are equivalent - Part 3

4 × 35 = 28 × 5

    140 = 140

 

Since this is true.

 

  4/5, 28/35 are equivalent.

 

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Transcript

Checking whether fractions are equivalentLet’s take an example Check whether 𝟏/𝟐, πŸπŸπŸ–/πŸπŸ“πŸ” are equivalent. To check, we make both fractions equal. 1/2 = 128/256 And then cross multiply 1/2 = 128/256 1 Γ— 256 = 128 Γ— 2 256 = 256 Since this is true 1/2, 128/256 are equivalent Check whether 𝟏/πŸ‘, πŸ—πŸ—/πŸπŸ—πŸ• are equivalent. To check, we make both fractions equal. 1/3 = 99/297 And then cross multiply 1/3 = 99/297 1 Γ— 297 = 99 Γ— 3 297 = 297 Since this is true 1/2, 99/297 are equivalent Check whether πŸ’/πŸ“, πŸπŸ–/πŸ‘πŸ“ are equivalent. To check, we make both fractions equal. 4/5 = 28/35 And then cross multiply 4/5 = 28/35 4 Γ— 35 = 28 Γ— 5 140 = 140 Since this is true. 4/5, 28/35 are equivalent.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo