Keyword Analysis & Research: repeating decimal to fraction

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Frequently Asked Questions

How do you multiply a repeating decimal?

There are really only two ways to multiply repeating decimals: you can round the decimal or use a fractional value of the decimal. For example: To multiply #0.bar6# by #0.bar1#, you can use one of two methods: Round them: #0.666666666# will round to #0.667#, if we use three decimal places, and #0.111111111# will round to #0.111#.

Can every repeating decimal be represented as a fraction?

Such decimals are referred to as recurring (or repeating) decimals. Every recurring decimal has a representation as a fraction. To see that, consider a recurring fraction of the form: 2.5 ( 34) = 2.534343434343434... which means the whole expression is a fraction.

What are the characteristics of a repeating decimal?

A repeating or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. all except finitely many digits are zero).

What is the same between decimal and fraction?

Fractions and decimals both serve the same purpose of describing parts of a whole , i.e. they are two ways of expressing non-whole values. Up to 4th grade, students learn fractions and decimals as separate topics and once comfortable with both formats, they should start to appreciate the relationship between the two.

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