which fraction is a unit rate you can solve a ratio problem
A unit rate is a fraction that compares a quantity to one unit of another quantity. In other words, it is a rate that has a denominator of 1.
To solve a ratio problem, you can identify the unit rate by comparing the given quantities. The unit rate can be obtained by dividing the numerator by the denominator.
To find a unit rate, you can solve a ratio problem by setting one of the values to 1. A unit rate is a ratio that compares a quantity to one unit of another quantity.
Let's take an example to understand better. Suppose we want to find the unit rate of miles per hour (mph) for a car that traveled 100 miles in 2 hours.
Step 1: Set one of the values to 1.
Since we want to find the unit rate of miles per hour, we can set the number of hours to 1.
Step 2: Create a ratio with the given quantities.
The ratio will be 100 miles : 1 hour.
Step 3: Simplify the ratio.
In this case, since the number of hours is 1, the ratio becomes 100 miles : 1.
Step 4: Write the unit rate.
The unit rate is the simplified ratio, which is 100 miles per 1 hour or simply 100 mph.
Therefore, the unit rate in this scenario is 100 mph.
To identify a fraction that represents a unit rate in a ratio problem, you need to understand what unit rate means. A unit rate is a rate that compares a quantity to one unit of another quantity. In other words, a unit rate is the ratio of two numbers where the second number is 1.
To solve a ratio problem and find the unit rate, follow these steps:
1. Identify the quantities being compared: In a ratio problem, there are usually two quantities being compared. For example, if you have a ratio of 3:5, the quantities being compared are 3 and 5.
2. Determine the unit: The unit represents the measurement or count of each quantity in the ratio. For example, if the ratio is 3 apples to 5 oranges, the unit could be "apples" or "oranges."
3. Simplify the ratio: Divide both numbers in the ratio by their greatest common divisor (GCD) to simplify it. This step ensures that the ratio is in its simplest form. For example, if the ratio is 15:20, divide both numbers by 5 to simplify it to 3:4.
4. Identify the unit rate: The unit rate will be a fraction with the quantity being compared in the numerator and 1 in the denominator. For example, in the simplified ratio of 3:4, the unit rate could be 3/1 or 4/1.
In conclusion, to find a fraction that represents a unit rate in a ratio problem, simplify the ratio and look for a fraction where the quantity being compared is in the numerator and 1 is in the denominator.