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Fractions to Terminating & Repeating Decimals · Easy Worksheet 1

Fractions to Terminating & Repeating Decimals — Easy Worksheet 1

Grade 7 · MathSheets    Name: ____________________   Date: __________

Answer each question. For a repeating decimal, put the repeating digits in parentheses: 0.1666… is written 0.1(6).

How to solve

Divide the numerator by the denominator with long division. If the remainder becomes 0, the decimal terminates. If a remainder repeats, the digits repeat from that point on: 511 = 0.4545…, written 0.(45). A fraction in simplest form terminates only when its denominator has no prime factors other than 2 and 5.

Example

Write 12 as a decimal.

Answer: 0.5

right so far
1. Write 35 as a decimal.
2. Write 29 as a decimal.
3. Is the decimal form of 320 terminating or repeating?
4. Write 12 as a decimal.
5. Write 25 as a decimal.
6. Write 89 as a decimal.
7. Is the decimal form of 111 terminating or repeating?
8. Write 14 as a decimal.

/ right