Question

what are all of the equivalent ratios for 26:25

Answer 1

To find equivalent ratios for the ratio \( 26:25 \), you can multiply both numbers by the same non-zero integer. Here are some examples:

1. Multiply by 1:
\[
26 \times 1 : 25 \times 1 = 26:25
\]

2. Multiply by 2:
\[
26 \times 2 : 25 \times 2 = 52:50
\]

3. Multiply by 3:
\[
26 \times 3 : 25 \times 3 = 78:75
\]

4. Multiply by 4:
\[
26 \times 4 : 25 \times 4 = 104:100
\]

5. Multiply by 5:
\[
26 \times 5 : 25 \times 5 = 130:125
\]

You can continue this process for any integer \( n \). Therefore, some equivalent ratios for \( 26:25 \) include \( 52:50 \), \( 78:75 \), \( 104:100 \), \( 130:125 \), etc.

In general, the equivalent ratio can be expressed as \( 26n : 25n \) where \( n \) is any non-zero integer.