What is the equivalent of 3:8 and 3:2:10
The equivalent of 3:8 can be written as a ratio in simplest form, which is 3:8.
The equivalent of 3:2:10 can also be written in simplest form, which is 3:2:10.
6:16 and 6:4:20
The equivalent of 6:16 can be simplified by dividing both numbers by their greatest common divisor, which is 2. So, the equivalent ratio in simplest form is 3:8.
Similarly, the equivalent of 6:4:20 can be simplified by dividing all the numbers by their greatest common divisor, which is again 2. So, the equivalent ratio in simplest form is 3:2:10.
To find the equivalent ratios of 3:8 and 3:2:10, let's break down each ratio separately:
1. Ratio 3:8:
- Divide both numbers in the ratio by their greatest common divisor (GCD). In this case, both numbers are already in their simplest form, so the ratio 3:8 is already equivalent.
2. Ratio 3:2:10:
- First, consider the first two numbers in the ratio, 3:2. To make them equivalent, find their GCD, which is 1. Divide both numbers in the ratio by the GCD:
- (3 ÷ 1) : (2 ÷ 1) = 3:2
- Now, to make the entire ratio 3:2:10, we need to find the equivalent for the third number, 10. The GCD of 10 with the previous ratio 3:2 is 1. Divide 10 by the GCD:
- 10 ÷ 1 = 10
- Therefore, the equivalent ratio of 3:2:10 is 3:2:10.
In conclusion, the equivalent ratios are:
- 3:8 remains the same.
- 3:2:10 remains the same.