What is the universal method to convert any fraction to a decimal?

Divide the numerator by the denominator using long division. This always works for both terminating and repeating decimals.

How can I tell if the decimal will terminate or repeat?

After simplifying, check if the denominator has only 2s and 5s as prime factors. If so, it terminates. Any other prime factor means it repeats.

1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, 1/5 = 0.2, 1/8 = 0.125, 1/3 ≈ 0.333.

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Name:Date:Class:

1.Convert to a decimal:

\frac{12}{5}

2.Convert to a decimal:

\frac{2}{5}

3.Convert to a decimal:

\frac{9}{4}

4.Convert to a decimal:

\frac{11}{4}

5.Convert to a decimal:

\frac{1}{8}

6.Convert to a decimal:

\frac{5}{4}

7.Convert to a decimal:

\frac{1}{4}

8.Convert to a decimal:

\frac{3}{2}

9.Convert to a decimal:

\frac{3}{2}

10.Convert to a decimal:

\frac{6}{5}

11.Convert to a decimal:

\frac{14}{5}

12.Convert to a decimal:

\frac{6}{5}

13.Convert to a decimal:

\frac{23}{8}

14.Convert to a decimal:

\frac{1}{2}

15.Convert to a decimal:

\frac{5}{8}

16.Convert to a decimal:

\frac{11}{4}

17.Convert to a decimal:

\frac{5}{2}

18.Convert to a decimal:

\frac{3}{2}

19.Convert to a decimal:

\frac{11}{4}

20.Convert to a decimal:

\frac{29}{10}

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Problem: Convert 7/16 to a decimal.

Set up long division: 7 ÷ 16.— 7 < 16, so place a decimal point and add zeros: 7.0000 ÷ 16.
Divide step by step.— 70 ÷ 16 = 4 r6. 60 ÷ 16 = 3 r12. 120 ÷ 16 = 7 r8. 80 ÷ 16 = 5 r0.
The remainder is 0, so the decimal terminates.— The digits are 4, 3, 7, 5 — giving 0.4375.

Answer: 0.4375