The given terms are 28 cm and 40 cm
We will put 28 as a numerator and 40 as a denominator
[tex]\frac{28}{40}[/tex]
Now, we will divide up and down by the greatest common factor of 28 and 40 to simplify the fraction
Since 28 = 1 x 28, 2 x 14, 4 x 7, then
The factors of 28 are 1, 2, 4, , 7, 28
Since 40 = 1 x 40, 2 x 20, 4 x 10, 5 x 8, then
The factors of 40 are 1, 2, 4, 5, , 8, , 10, 20, 40
The common factors of them are 1, 2, 4
The greatest one is 4
Divide up and down by 4
[tex]\begin{gathered} \frac{28}{4}=7 \\ \\ \frac{40}{4}=10 \\ \\ \frac{28}{40}=\frac{7}{10} \end{gathered}[/tex]
The answer is 7/10
