=

Keep in mind a mixed number is made up of a whole number (whole numbers have no fractional or decimal part) and a proper fraction part (a fraction where the numerator (the top number) is less than the denominator (the bottom number). In this case the whole number value is

**Terminating** decimals have a limited number of digits after the decimal point.

Example:
**
2015.48 = 2015 ^{48}/_{100}
**

**Recurring** decimals have one or more repeating numbers after the decimal point which continue on infinitely.

Example:
**
3329.3333 = 3329 ^{3333}/10000 = 333/1000 = 33/100 = 1/3** (rounded)

**Irrational** decimals go on forever and never form a repeating pattern. This type of decimal cannot be expressed as a fraction.

Example: **0.332908500.....**

Example:
2276.2 = 2276 ^{2}/_{10
}

Example:
2287.48 = 2287 ^{48}/_{100
}

Example:
6014.921 = 6014 ^{921}/_{1000
}

Example:
93961.2402 = 93961 ^{2402}/_{10000
}

Decimal to fraction results for: **3.****0289** in simple form.

Whole number-integral part: **3**

Fractional-decimal part: **0289**

3.0289 = 3 ** ^{0289}**/

a/b = numerator/denominator =

Terminating decimals are rather easy to convert. You can manually convert any terminating decimal into a fraction using these steps:

**Step 1:** Write the decimal number in fraction format, with the number as the numerator and 1 in the denominator.

**Step 2:** Now, multiply the numerator and the denominator by 10 for every digit left of the decimal point.

**Step 3:** Next, reduce the fraction into its simplest form.

Terminating Decimal to Fraction Example:
**
5385.20 = 5385 ^{20}/_{100}
**

Non-terminating decimals are those decimals which have an infinite number of recurring digits. It is a bit tricky to convert non-terminating decimals into fractions. Next we'll explain the steps. For example, let us find the value of 0.4444... in fraction form.

**Step 1:** Take the repeating decimal you are trying to convert as x. Let x be equal to 0.44444….

**Step 2:** Multiply the value of X by the power of 10, such that the resulting number has the same number on the right side of the decimal.

Hence, 10x = 4.44444….

**Step 3:** Subtact the output of step 2 from step 1

10x-x = 4.444444...-0.4444444….

9x= 4

= 4/9

**Step 4:** Resulting in a fraction number of the decimal number.

x=4/9

Recurring Decimal to Fraction Example:

Irrational decimals go on forever and never form a repeating pattern. This type of decimal cannot be expressed as a fraction.

Irrational Decimal Example:
** 0.959496201.....**

© www.asafraction.net