Have you ever tried to figure out a problem involving mileage? Take a look at this situation.
On Sunday, Leah walked 4 miles. On Monday, Leah walked one-third as many miles as she walked on Tuesday. She walked a total of 12 miles on those 3 days.
Pay attention to this Concept. It will help you to work with fractions. Then you can solve this dilemma successfully.
Do you know how to solve this equation that has fractions in it?
Let's look at how to do this.
Some equations with fractions will also have a set of parentheses in them. To work with these problems, you will need to use the distributive property to simplify the equation.
Solve each for the unknown variable. Be sure your answer is in simplest form.
Now let's go back to the dilemma at the beginning of the Concept.
Consider part a first.
Next, consider part b.
Consider part c next.
Leah walked 2 miles on Monday.
the set of whole numbers and their opposites.
a set of numbers that includes integers, decimals, fractions, terminating and repeating decimals. These numbers can be written in fraction form.
a part of a whole written using a numerator and a denominator.
a part of a whole written using place value and a decimal point.
a decimal where the digits repeat in a pattern and eventually end.
a decimal where the digits eventually end, but where numbers do not repeat in a pattern.
Here is one for you to try on your own.
Solve for the unknown variable. Be sure that your answer is in simplest form.
First, add the numerators of the two fractions with a common denominator.
Our work is simpler now.
Solving Two-Step Linear Equations with Fractions
Directions: Solve each equation.