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

Mixed Recurring Decimal











= 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.

Mixed Recurring Decimal Sign



Therefore, 5/18 is a mixed recurring decimal.


(b) 5/6

Mixed Recurring Decimal Notation











= 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.

Mixed Recurring Decimal Image



Therefore, 5/6 is a mixed recurring decimal.


(c) 111/900

Mixed Recurring Sign













= 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.

Mixed Recurring Sign Image



Therefore, 111/900 is a mixed recurring decimal.

Related Concept

Decimals

Decimal Numbers

Decimal Fractions

Like and Unlike Decimals

Comparing Decimals

Decimal Places

Conversion of Unlike Decimals to Like Decimals

Decimal and Fractional Expansion

Terminating Decimal

Non-Terminating Decimal

Converting Decimals to Fractions

Converting Fractions to Decimals

H.C.F. and L.C.M. of Decimals

Repeating or Recurring Decimal

Pure Recurring Decimal

Mixed Recurring Decimal

BODMAS Rule

BODMAS/PEMDAS Rules - Involving Decimals

PEMDAS Rules - Involving Integers

PEMDAS Rules - Involving Decimals

PEMDAS Rule

BODMAS Rules - Involving Integers

Conversion of Pure Recurring Decimal into Vulgar Fraction

Conversion of Mixed Recurring Decimals into Vulgar Fractions

Simplification of Decimal

Rounding Decimals

Rounding Decimals to the Nearest Whole Number

Rounding Decimals to the Nearest Tenths

Rounding Decimals to the Nearest Hundredths

Round a Decimal

Adding Decimals

Subtracting Decimals

Simplify Decimals Involving Addition and Subtraction Decimals

Multiplying Decimal by a Decimal Number

Multiplying Decimal by a Whole Number

Dividing Decimal by a Whole Number

Dividing Decimal by a Decimal Number


7th Grade Math Problems

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