Have you ever tried to estimate using fractions? Take a look at this dilemma.
Do you know how to figure this out? We can use estimation to help us. Pay attention to this Concept and you will be able to figure out the fullness of the jar.
When you estimate fraction sums and differences you will need to work with rounding fractions. You can work with rounding fractions in a couple of different ways. One way is to look at the relationship between the fraction and a whole.
Here are some guiding questions:
Is this fraction close to one-half or one-whole?
If I simplify the fractions that I am adding or subtracting, will they have a common denominator?
Is this fraction so close to one-whole that it would make sense to round up to a whole?
Take a few minutes and write these guiding questions down in your notebook.
Now apply this information and estimate the following sum.
Now you can easily add the rounded fractions.
With this problem, it made sense to round the fractions so that we could simplify them. The simplified fractions had a common denominator. This makes our work easier.
Here is another one.
It seems tricky because there is not one set way of estimating sums and differences of fractions. You need to use your thinking skills and powers of reason to look at the relationship between the fraction and a whole or a half and so on. As you move into higher levels of mathematics, this will become necessary for many of your assignments. It is a good skill to begin practicing now.
Find a reasonable estimate for each sum or difference.
Now let's go back to the dilemma from the beginning of the Concept.
This is our estimate of the sum of the jar.
represents a part of a whole.
a fraction where the numerator is greater than the denominator. It means that we have more than one whole represented.
a whole number and a fraction written together.
the bottom number in a fraction tells you how many parts the whole has been divided into.
the top number in a fraction. It tells you how many parts you have out of the whole.
Here is one for you to try on your own.
Estimate the following difference.
To estimate this difference, first look at the mixed number.
Directions: Estimate each sum or difference.