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

● 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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