You fill your car with 15 gallons of gas at a cost of $45. Using fractional notation, how do you write a proportion that shows how much 5 gallons of gas will cost? Use x to represent the unknown cost.(1 point)
Responses
15/x=45/5
15:45::x:5
15/45=5/x
15/45=x5
15/45 = x/5
and i think its a not sure read on to find out figure it out
If you had a choice between eating 1 1/3 of a candy bar or 4/3 of a candy bar, which would you choose? Did you know that a mixed number (like 1 1/3) and an improper fraction (like 4/3) can represent the exact same amount? These two numbers are equal, so no matter which one you chose, you would have the same amount of candy bar! This lesson will show you why this is true and how to convert mixed numbers to improper fractions.
We use fractions when we are referring to a part of a whole instead of a whole number. Fractional notation simply means that a number is written in fraction form. It is written as a/b where neither a nor b is equal to 0.
A fraction has two parts, the numerator and denominator. The numerator is the number on top of the line and it represents how many pieces of the whole we are referring to. The denominator is the number below the line, and it represents how many pieces make up one whole. Look at these examples:
1
Visualizing Fractional Notation
It's said that a picture is worth a thousand words, so let's look at some images that will help us understand fractional notation. The following image shows a bar broken into 5 equal pieces. Therefore, 5 pieces make up a whole bar in this example, so the denominator is 5. Of the 5 pieces, 2 are shaded in. Because we are referring to 2 of the 5 pieces, the numerator in this example is 2. This image represents the fraction 2/5.
Mixed Numbers in Fractional Notation
We can also write mixed numbers in fractional notation. A mixed number is one that consists of a whole number and a fraction. When we convert a mixed number to fractional notation, it makes an improper fraction. An improper fraction is a fraction that represents more than one whole.
To write a proportion that shows how much 5 gallons of gas will cost, you can use the relationship between the number of gallons and the cost.
Let's say the cost of filling 15 gallons of gas is $45.
To find the unknown cost for 5 gallons of gas, you can set up a proportion:
(gallons of gas)/(cost) = (gallons of gas)/(cost)
In this case, it will be:
15/x = 5/unknown cost
Now, you can cross-multiply and solve for x:
15 * unknown cost = 5 * x
Dividing both sides by 5:
15 * unknown cost / 5 = x
So the proportion that shows how much 5 gallons of gas will cost is:
15/x = 5/unknown cost