Question

compare the fractions using >, <, or =
\frac{20}{100} _ \frac{2}{10} \quad \frac{4}{10} _ \frac{5}{8}

what decimal is being modeled? _____
image of a grid
write it as a fraction. _____

Explanation:

Step1: Simplify first fraction pair

Convert $\frac{2}{10}$ to hundredths: $\frac{2}{10} = \frac{20}{100}$

Step2: Compare first fraction pair

$\frac{20}{100} = \frac{20}{100}$

Step3: Simplify second fraction pair

Find common denominator (40):
$\frac{4}{10} = \frac{16}{40}$, $\frac{5}{8} = \frac{25}{40}$

Step4: Compare second fraction pair

$\frac{16}{40} < \frac{25}{40}$

Step5: Count shaded grid squares

Total squares = 100, shaded = 28

Step6: Convert to decimal

$\frac{28}{100} = 0.28$

Step7: Write as simplified fraction

$\frac{28}{100} = \frac{7}{25}$

Answer:

1. $\frac{20}{100} = \frac{2}{10}$
2. $\frac{4}{10} < \frac{5}{8}$
3. Decimal modeled: $0.28$
4. Fraction form: $\frac{7}{25}$