Question

A grid model with 100 squares. 20 squares are shaded.
Which fraction is equivalent to 20%?
StartFraction 1 Over 20 EndFraction
StartFraction 2 Over 20 EndFraction
StartFraction 4 Over 20 EndFraction
StartFraction 5 Over 20 EndFraction

Answer 1

To find the fraction that is equivalent to 20%, we first need to understand what 20% means in terms of a fraction.

20% can be expressed as:

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

This fraction can be simplified by dividing both the numerator and the denominator by 20:

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

Now, we can compare this with the fractions provided in the options. We can convert each option into decimal form or simplify them to see if they equal \(\frac{1}{5}\).

1. **StartFraction 1 Over 20 EndFraction** = \(\frac{1}{20} = 0.05\)
2. **StartFraction 2 Over 20 EndFraction** = \(\frac{2}{20} = \frac{1}{10} = 0.1\)
3. **StartFraction 4 Over 20 EndFraction** = \(\frac{4}{20} = \frac{1}{5} = 0.2\)
4. **StartFraction 5 Over 20 EndFraction** = \(\frac{5}{20} = \frac{1}{4} = 0.25\)

From this analysis, we can see that:

\[
\frac{4}{20} = \frac{1}{5}
\]

Thus, the option that is equivalent to 20% is:

\[
\text{StartFraction 4 Over 20 EndFraction}
\]