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Checking whether fractions are equivalent

Last updated at March 12, 2019 by

Let’s take an example

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

Β 

To check,

Β  we make both fractions equal.

Β  1/2 = 128/256

And then cross multiply

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1 Γ— 256 = 128 Γ— 2

Β Β Β Β Β  256 = 256

Since this is true

Β  1/2, 128/256 are equivalent

Β 

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

To check,

Β  we make both fractions equal.

Β  Β  1/3 = 99/297

And then cross multiply

Checking whether fractions are equivalent - Part 2

1 Γ— 297 = 99 Γ— 3

Β Β Β Β Β  297 = 297

Β 

Since this is true

Β 

Β  1/2, 99/297 are equivalent

Β 

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

To check,

Β  we make both fractions equal.

Β  4/5 = 28/35

And then cross multiply

Checking whether fractions are equivalent - Part 3

4 Γ— 35 = 28 Γ— 5

Β Β Β  140 = 140

Β 

Since this is true.

Β 

Β  4/5, 28/35 are equivalent.

Β 

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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.