Read and Draw
Read the problem.
\(\mathsf{ \frac{1}{3} }\) of the school is painted blue. What fraction of the school is not painted blue?
We need a shape for the whole.
Which shape looks like the school?
The rectangle looks like the school!
Let’s Learn!
Use fractions to answer word problems.
Goal:
Goal:
Think About It!
Goal: Learn how to answer fraction word problems.
\(\mathsf{ \frac{1}{3} }\) of the school is painted blue. What fraction of the school is not painted blue?
This is a word problem! Word problems tell us a story using words and numbers. We need to use fractions to find the answer. Fractions are partitioned into equal parts of a whole.
Halves are two equal parts. Thirds are three equal parts. Fourths are four equal parts.
How do we find the answer? Click the slideshow to find out!
Find the Fraction
We will use a rectangle as the whole.
\(\mathsf{ \frac{1}{3} }\) of the school is painted blue. What fraction of the school is not painted blue?
We need a shape for the whole.
What fraction is in the problem? We will partition the rectangle to match the fraction we find.
\(\mathsf{ \frac{1}{3} }\) is in the problem! \(\mathsf{ \frac{1}{3} }\) of the school is painted blue. What fraction of the school is not painted blue? Here is the rectangle partitioned into thirds.
Make a Whole
Read the problem.
\(\mathsf{ \frac{1}{3} }\) is in the problem. The rectangle is partitioned into thirds.
\(\mathsf{ \frac{1}{3} }\) of the school is painted blue. What fraction of the school is not painted blue?
We need to find what fraction of the whole is not painted. We will color the fraction that is painted blue. Then we will find what fraction of the whole is left.
What fraction of the school is painted blue?
\(\mathsf{ \frac{1}{3} }\) of the school is painted blue. We will color \(\mathsf{ \frac{1}{3} }\) of the rectangle to show this!
What fraction of the whole is left?
Two of the thirds are left!
Find the Answer
\(\mathsf{ \frac{1}{3} }\) of the whole is colored in. There are two \(\mathsf{ \frac{1}{3} }\) parts left.
\(\mathsf{ \frac{1}{3} }\) of the school is painted blue. What fraction of the school is not painted blue?
We use \(\mathsf{ \frac{1}{3} }\) to show one third. We use \(\mathsf{ \frac{2}{3} }\) to show two thirds. That is because the parts are thirds and there are two of them!
What fraction of the school is not painted blue?
\(\mathsf{ \frac{2}{3} }\) of the school is not painted blue.