Question

Select all ratios equivalent to 26:20.

Answer 1

First simplify: 26:20 = (divide both by 2) = 13:10.

All ratios equivalent to 26:20 are of the form 13k : 10k for any nonzero k (usually k>0 for positive ratios). Examples:
- 13:10
- 39:30 (k=3)
- 52:40 (k=2)
- 130:100 (k=10)
- 1.3:1 or 2.6:2 (k = 0.1 and 0.1×20 respectively)

To check any given ratio a:b, use cross-multiplication: a·20 = b·26. If true, the ratio is equivalent.