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

Answer:

Yes its true . both sides are equal

Step-by-step explanation:

$\frac{27}{51} =\frac{18}{34}$

Lets simplify each fraction and check

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

So $\frac{27}{51}$ becomes 9/17

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

So $\frac{18}{34}$ becomes 9/17

$\frac{27}{51} =\frac{18}{34}$

After reducing fractions the equation becomes

$\frac{9}{17} =\frac{9}{17}$

So both are equal