# Mixed Recurring Decimal

Definition of Mixed recurring decimal:

A decimal in which at least one of the digits after the decimal point is non-repeated and some digits are repeated is called a mixed recurring decimal.

A few solved problems are explained step-by-step with detailed explanation.

Worked-out example on mixed recurring decimal:

(a) 5/18

= 0.2777….

For, 5/18 when 5 is divided by 18, the quotient is 0.2777... and the digit 7 is repeating.

For instance, 0.277777777777......... can also be written as 0.27

Alternatively, we can write it by placing a dot above the repeating digit 7 in the quotient.

Therefore, 5/18 is a mixed recurring decimal.

(b) 5/6

= 0.833……..

For, 5/6 when 5 is divided by 6, the quotient is 0.8333... and the digit 3 is repeating.

For instance, 0.833......... can also be written as 0.83

Alternatively, we can write it by placing a dot above the repeating digit 3 in the quotient.

Therefore, 5/6 is a mixed recurring decimal.

(c) 111/900

= 0.12333........

For, 111/900 when 111 is divided by 900, the quotient is 0.1233... and the digit 3 is repeating.

For instance, 0.1233......... can also be written as 0.123

Alternatively, we can write it by placing a dot above the repeating digit 3 in the quotient.

Therefore, 111/900 is a mixed recurring decimal.

Related Concept

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Fraction in Lowest Terms |Reducing Fractions|Fraction in Simplest Form

Feb 28, 24 04:07 PM

There are two methods to reduce a given fraction to its simplest form, viz., H.C.F. Method and Prime Factorization Method. If numerator and denominator of a fraction have no common factor other than 1…

2. ### Equivalent Fractions | Fractions |Reduced to the Lowest Term |Examples

Feb 28, 24 01:43 PM

The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with re…

3. ### Fraction as a Part of Collection | Pictures of Fraction | Fractional

Feb 27, 24 02:43 PM

How to find fraction as a part of collection? Let there be 14 rectangles forming a box or rectangle. Thus, it can be said that there is a collection of 14 rectangles, 2 rectangles in each row. If it i…

4. ### Fraction of a Whole Numbers | Fractional Number |Examples with Picture

Feb 24, 24 04:11 PM

Fraction of a whole numbers are explained here with 4 following examples. There are three shapes: (a) circle-shape (b) rectangle-shape and (c) square-shape. Each one is divided into 4 equal parts. One…