Question

Which equation represents the unit fraction shown in the diagram?

A grid model with 100 squares. 20 squares are shaded.
StartFraction 20 Over 100 EndFraction = one-fifth
StartFraction 20 Over 100 EndFraction = two-fifths
StartFraction 20 Over 100 EndFraction = one-half
StartFraction 20 Over 100 EndFraction = StartFraction 1 Over 10 EndFraction

Answer 1

To determine the equation that represents the unit fraction shown in the diagram, let's analyze the information given:

1. You have a grid model with 100 squares.
2. Out of those, 20 squares are shaded.

To express this as a fraction, you can use the following:

\[
\frac{20}{100}
\]

Now, simplifying \(\frac{20}{100}\):

\[
\frac{20 \div 20}{100 \div 20} = \frac{1}{5}
\]

Thus, \(\frac{20}{100}\) simplifies to \(\frac{1}{5}\).

From the provided options, the correct equation that represents the unit fraction shown in the diagram is:

\[
\frac{20}{100} = \frac{1}{5}
\]

So the answer is:

**StartFraction 20 Over 100 EndFraction = one-fifth**