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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.

$Mixed Recurring Sign Image$