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
● Conversion of Unlike Decimals to Like Decimals
● Decimal and Fractional Expansion
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● BODMAS/PEMDAS Rules - Involving Decimals
● PEMDAS Rules - Involving Integers
● PEMDAS Rules - Involving Decimals
● BODMAS Rules - Involving Integers
● Conversion of Pure Recurring Decimal into Vulgar Fraction
● Conversion of Mixed Recurring Decimals into Vulgar Fractions
● Rounding Decimals to the Nearest Whole Number
● Rounding Decimals to the Nearest Tenths
● Rounding Decimals to the Nearest Hundredths
● 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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