Write the given ratio as a fraction, then find four more equivalent fractions.
Example ratios: 4:10, 6:15, 8:20, and 10:25 Explanation: See solution.
Practice makes perfect
We can see the ratio 2:5 as the fraction 25. Then, to find ratios equivalent to the given one we have to find fractions equivalent to 25.
2:5 or 2/5
To obtain fractions equivalent to the one written above we have to multiply the numerator and denominator by the same number. Let's multiply the numerator and denominator by 2, 3, 4, and 5.
2/5 = 2* 2/5* 2 = 2* 3/5* 3 = 2* 4/5* 4 = 2* 5/5* 5 [0.2cm]
⇓
2/5 = 4/10 = 6/15 = 8/20 = 10/25
From the above we see that the following four ratios are equivalent to the ratio 2:5.
4:10, 6:15, 8:20, 10:25
The reason why these ratios are equivalent to 2:5 is because all of their corresponding fractions can be reduced to 25.
