Question

Is 27/51 =18/34? explain your reasoning

Answer 1

They are = because both can be reduced to 9/17
Also their cross products are equal 27 x 34 = 18 x 51 - Both equal 918 so both fractions are equal to each other.

Answer 2

Yes its true . both sides are equal

Explanation:

`(27)/(51) =(18)/(34)`

Lets simplify each fraction and check

Left hand side fraction has a common factor 3. divide top and bottom by 3

So
`(27)/(51)` becomes 9/17

Now the right hand side fraction has a common factor 2. Divide top and bottom by 2

So
`(18)/(34)` becomes 9/17

`(27)/(51) =(18)/(34)`

After reducing fractions the equation becomes

`(9)/(17) =(9)/(17)`

So both are equal