Decimals and Fraction Equivalents

1. Write each fraction as a decimal.

a) $\frac{3}{10} = \underline{\quad}$

b) $\frac{7}{10} = \underline{\quad}$

c) $\frac{45}{100} = \underline{\quad}$

d) $\frac{9}{100} = \underline{\quad}$

(Hint: $\frac{3}{10} = 0.3$ — the digit goes in the tenths place.)

2. Rewrite each fraction with a denominator of $100$, then write the decimal.

a) $\frac{3}{10} = \frac{\underline{\quad}}{100} = \underline{\quad}$

b) $\frac{6}{10} = \frac{\underline{\quad}}{100} = \underline{\quad}$

c) $\frac{1}{10} + \frac{4}{100} = \frac{\underline{\quad}}{100} + \frac{4}{100} = \frac{\underline{\quad}}{100} = \underline{\quad}$

3. Compare each pair of decimals. Write >, <, or =.

$0.5 \quad \square \quad 0.50$

$0.3 \quad \square \quad 0.7$

$0.45 \quad \square \quad 0.5$

$0.08 \quad \square \quad 0.80$

(Hint: compare digit by digit starting from the tenths place.)

4. A runner completed $\frac{7}{10}$ of a race. Write this as a decimal: $\underline{\quad}$

Another runner completed $0.65$ of the race. Write this as a fraction: $\frac{\underline{\quad}}{100}$

Who has completed more of the race? $\underline{\qquad\qquad}$

Show your comparison: $\underline{\quad} \; \square \; \underline{\quad}$

5. Order these decimals from least to greatest:

$0.9, \quad 0.09, \quad 0.90, \quad 0.19$

$\underline{\quad}, \quad \underline{\quad}, \quad \underline{\quad}, \quad \underline{\quad}$

Which two decimals are equal? $\underline{\quad}$ and $\underline{\quad}$

6. A chocolate bar is divided into $100$ equal pieces. Maria ate $\frac{3}{10}$ of the bar.

How many pieces did she eat? $\underline{\quad}$ pieces

Write this as hundredths: $\frac{3}{10} = \frac{\underline{\quad}}{100}$

Her brother ate $0.25$ of the bar. Write this as a fraction: $\frac{\underline{\quad}}{100}$

Who ate more? $\underline{\qquad\qquad}$

How many pieces did they eat together? $\underline{\quad} + \underline{\quad} = \underline{\quad}$ pieces