is 27/51 =18/34? explain your reasoning
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:
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