What is 10 inches to 1 yard for ratios
The Correct Answer and Explanation is:
To convert 10 inches to a ratio of 1 yard, we first need to know the relationship between inches and yards:
- 1 yard is equal to 36 inches.
So, to express 10 inches as a ratio to 1 yard, we use the fact that: 10 inches36 inches=1036\frac{10 \, \text{inches}}{36 \, \text{inches}} = \frac{10}{36}36inches10inches=3610
This simplifies to: 1036=518\frac{10}{36} = \frac{5}{18}3610=185
Therefore, the ratio of 10 inches to 1 yard is 5:18.
Explanation:
When comparing two quantities in a ratio, we express one quantity as a fraction of the other. In this case, we are comparing inches to yards. Since we know that there are 36 inches in 1 yard, we can represent the number of inches (10 inches) as a fraction of 36 inches. Simplifying the fraction 10/36 by dividing both the numerator and denominator by their greatest common divisor (which is 2) gives us the simplified ratio of 5:18.
This means that for every 18 units of yards, there are 5 units of inches. In other words, 10 inches is equivalent to 5/18ths of a yard.
