Do the ratios form a proportion?
Key notes:
Two equivalent ratios form a proportion.
Equivalent ratios have the same value.
Learn with an example
👉 Do the ratios 3/2 and 15/10 form a proportion?
- yes
- no
To determine whether the two ratios 3/2 and 15/10 form a proportion, you can compare them using a common denominator.
The denominators are 2 and 10. You can use 10 as the common denominator since 10 is a multiple of 2.
Write 3/2 with a denominator of 10.
3/2 = 3 . 5 / 2 .5 = 15 / 10
So, 3/2 and 15/10 are equal.
This means that the ratios form a proportion.
👉 Do the ratios 1/2 and 7/14 form a proportion?
- yes
- no
To determine whether the two ratios 1/2 and 7/14 form a proportion, you can compare them using a common denominator.
The denominators are 2 and 14. You can use 14 as the common denominator since 14 is a multiple of 2.
Write 1/2 with a denominator of 14.
1/2 = 1 . 7 / 2 . 7 = 7/14
So, 1/2 and 7/14 are equal.
This means that the ratios 1/2 and 7/14 form a proportion.
👉 Do the ratios 2/1 and 16/8 form a proportion?
- yes
- no
To determine whether the two ratios 2/1 and 16/8 form a proportion, you can compare them using a common denominator.
The denominators are 1 and 8. You can use 8 as the common denominator since 8 is a multiple of 1.
Write 2/1 with a denominator of 8.
2/1 = 2 . 8 / 1 . 8 = 16/8
So, 2/1 and 16/8 are equal.
This means that the ratios 2/1 and 16/8 form a proportion.
let’s practice! 🖊️