How to convert ordinary fraction to decimal?

Irina Fateeva
Irina Fateeva
February 14, 2013
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How to convert ordinary fraction to decimal?

Very often in the school program of mathematics, children face the problem of how to convert an ordinary fraction into a decimal. In order to translate an ordinary fraction into a decimal, let us first recall what an ordinary fraction and a decimal fraction are. A regular fraction is a fraction of the form m / n, where m is the numerator and n is the denominator. Example: 8/13; 6/7 etc. Fractions are divided into correct, incorrect and mixed numbers. The correct fraction is when the numerator is less than the denominator: m / n, where m 3. An incorrect fraction can always be represented as a mixed number, namely: 4/3 = 1 and 1/3;

Convert Fraction to Decimal

Now consider how to convert a mixed fraction into a decimal. Any ordinary fraction, whether it is correct or not correct, can be converted to decimal. To do this, you need to divide the numerator by the denominator. Example: a simple fraction (regular) 1/2. We divide the numerator 1 by the denominator 2, we get 0.5.Take the example of 45/12, it is immediately clear that this fraction is wrong. Here the denominator is less than the numerator. We transform the irregular fraction into a decimal: 45: 12 = 3.75.

Convert mixed numbers to decimal

Example: 25/8. First, we turn the mixed number into an irregular fraction: 25/8 = 3x8 + 1/8 = 3 and 1/8; then we divide the numerator equal to 1 by a denominator equal to 8, by a bar or on a calculator and we get a decimal fraction equal to 0.125. The article provides the easiest examples of converting to decimals. Having understood the method of translation with simple examples, you can easily solve the most complex ones.

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