Write repeating decimals as fractions
Year 9 maths · Fieldbook Learning
Name ______________________ Date __________
Let x be the decimal. Multiply by a power of 10 to line up the repeating part, then subtract.
- The decimal 0.515151… has the digits 51 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.595959… has the digits 59 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.828282… has the digits 82 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.111111… has the digits 1 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.222222… has the digits 2 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.777777… has the digits 7 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.466666… has a leading 4 followed by the digits 6 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.617171… has a leading 6 followed by the digits 17 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.949494… has the digits 94 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.101010… has the digits 10 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.161616… has the digits 16 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.753535… has a leading 7 followed by the digits 53 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.377777… has a leading 3 followed by the digits 7 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.622222… has a leading 6 followed by the digits 2 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.811111… has a leading 8 followed by the digits 1 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.937373… has a leading 9 followed by the digits 37 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.555555… has the digits 5 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.189898… has a leading 1 followed by the digits 89 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.322222… has a leading 3 followed by the digits 2 repeating forever. Write it as a fraction in lowest terms.
- The decimal 0.444444… has the digits 4 repeating forever. Write it as a fraction in lowest terms.