How To Make A Repeating Decimal A Fraction

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$Converting fractions into decimals worksheet$

Converting Fractions Into Decimals Worksheet

So there are some specific steps to be followed to convert repeating decimal to fraction The repeating decimal to fraction steps of conversion are given below Step 1 Identify the repeating digits in the given decimal number Step 2 Equate the decimal number with x or any other variable To convert a “terminating decimal” to a fraction, we simply count the number of digits after the decimal point (which are finite); then, we multiply and divide by the appropriate power of ten. Example: 0.75 = 0.75 × 100 100 = 75 100 = 3 4 This is pretty simple, isn’t it?

$Showme convert repeating decimals to fractions$

ShowMe Convert Repeating Decimals To Fractions

How To Make A Repeating Decimal A FractionTo convert a decimal to a fraction, we write the decimal number as a numerator, and we write its place value as the denominator. Example 1: 0.07 0.0 7 is 7 hundredths . So, we write 7 over 100 . 0.07 = 7 100 But what about repeating decimals? Let's look at an example. Rewrite 0. 7 ― as a simplified fraction. Let x equal the decimal: x = 0.7777. The process of converting a repeating decimal to a fraction can be broken down into a few easy steps To start set the decimal equal to a variable Multiply the decimal by 10 and subtract the original decimal from it Finally divide both sides by 9 to obtain the fractional form of the decimal