Reduce each ratio to its minimum expression to find if they are equal.
35:28
[tex]\begin{gathered} \frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ =\frac{5}{4} \end{gathered}[/tex]10:8
[tex]\begin{gathered} \frac{10}{8}=\frac{2\cdot5}{2\cdot4} \\ =\frac{5}{4} \end{gathered}[/tex]Since both ratios reduce to 5:4, they are equivalent.
Another way to check a:b is equivalent to c:d, is that a*d = b*c
In this case, this will be true if 35 times 8 is equal to 10 times 28:
[tex]\begin{gathered} 35\cdot8=280 \\ 10\cdot28=280 \end{gathered}[/tex]Since both products are equal, then the ratios are equivalent.
