Convert each fraction to a decimal and indicate whether it is a terminating or repeating decimal:
1. Convert the fractions to decimals and determine if they are terminating or repeating:
- [tex]\frac{1}{25}[/tex]
- [tex]\frac{25}{176}[/tex]
- [tex]\frac{12}{1000}[/tex]
2. Write each mixed number as a decimal (do not indicate if it is a terminating or repeating decimal):
- [tex]11 \frac{1}{6}[/tex]
- [tex]2 \frac{9}{10}[/tex]
- [tex]8 \frac{23}{100}[/tex]
- [tex]7 \frac{13}{15}[/tex]
- [tex]54 \frac{3}{11}[/tex]
- [tex]3 \frac{1}{18}[/tex]
- [tex]3 \frac{2}{3}[/tex]
- [tex]12 \frac{7}{8}[/tex]
Answer (2)
To find out whether it's a repeating or a terminating decimal, divide the numerator by the denominator.
For mixed numbers, multiply the denominator by the whole number and the numerator to that number. Use that number over as the numerator over the new fraction and use the same method above.
To find out the decimal form of a fraction, just divide the numerator by the denominator (ex:1/25=.04) Terminating means it stops eventually but repeating just means it keeps on going.
