**How to Convert fractions to decimals « Math WonderHowTo**

Lesson 10: Converting Repeating Decimals to Fractions Date: 4 Lesson 10: Converting Repeating Decimals to Fractions Student Outcomes Students know the intuitive reason why every repeating decimal is equal to a fraction. Students convert a decimal expansion that eventually repeats into a fraction. Students know that the decimal expansions of rational numbers repeat eventually. â€¦... 30/03/2010Â Â· Best Answer: 42.3/99 is the same as 423/990 423 is a multiple of 9 (9*47 = 423) and so is 990 (9*110 = 990) so divide numerator and denominator by 9.

**Pass My Exams Mathematics exam notes**

Algebra can be used to convert recurring decimals into fractions. Example. Convert to a fraction. has 1 digit recurring. Firstly, write out as a number, using a few iterations (repeats) of the... beginning, first multiply by a multiple of 10 until the non-recurring part is to the left of the decimal point and subtract the whole number part to leave a â€˜simpleâ€™ recurring decimal: Convert this â€˜simpleâ€™ recurring decimal into a fraction using the standard method:

**Lesson 10 Converting Repeating Decimals to Fractions**

Converting recurring decimals to fractions - Higher. Algebra skills are needed to turm recurring decimals into fractions. Example. Convert to a fraction. Firstly, write out as a number, using a how to make a screwdriver mixed drink It follows that any repeating decimal with period n, and k digits after the decimal point that do not belong to the repeating part, can be written as a (not necessarily reduced) fraction whose â€¦

**Changing fractions to decimals using division BBC**

First multiply by #10(10-1) = (100-10)# to get an integer. The first multiplier of #10# is to shift the decimal representation one place to the left, so the repeating section begins just after the decimal point. how to put money into your tab account First multiply by #10(10-1) = (100-10)# to get an integer. The first multiplier of #10# is to shift the decimal representation one place to the left, so the repeating section begins just after the decimal point.

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### Recurring Decimals to Fractions Worksheet by samfletch18

- Pass My Exams Mathematics exam notes
- Recurring Decimals to Fractions Worksheet by samfletch18
- Converting fractions to & from recurring decimals by
- Tiny Nines nrich.maths.org

## How To Make Recurring Decimals Into Fractions

Start with a preliminary investigation into which fractions make recurring decimals. Allow students to use electronic calculators and also (essential) to experiment with a standard non-calculator method for the division, to acquire a feel for the elements involved in 'decimalising' a fraction.

- First multiply by #10(10-1) = (100-10)# to get an integer. The first multiplier of #10# is to shift the decimal representation one place to the left, so the repeating section begins just after the decimal point.
- Namely, to convert a repeating decimal into a fraction, multiply the repeating decimal by some power of 10â€”that is, by 10, 100, 1000, or whatever is neededâ€”so that we can then subtract the repeating decimal part off of this new number. For example, to turn 0.444â€¦ into 4/9 we just multiply 0.444â€¦ by 10 to get 4.444â€¦, then subtract 0.444â€¦ from this to get 4â€”a number without a
- 30/03/2010Â Â· Best Answer: 42.3/99 is the same as 423/990 423 is a multiple of 9 (9*47 = 423) and so is 990 (9*110 = 990) so divide numerator and denominator by 9.
- Shortcut trick to convert recurring decimals into fractions The same thing which we have done above can be done just by looking at the original number. The shortcut trick is explained below step by step with example for easy understanding â€“