Calculators & Converters

    29/11 as a Decimal and Mixed Number

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    29/11 as a decimal and mixed number expansion provides the detailed information about what is 29/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    29/11 as a Decimal Expansion
    29/11 = 2.6364
    Hence,
    29/11 as a decimal equals to 2.6364
    where,
    29/11 is a given fraction,
    The decimal expansion of 29/11 is 2.6364

    29/11 as a Mixed Number
    29/11 = (22 + 7)/11
    = 22/11 + 7/11
    = 2 + 7/11
    = 2 7/11
    29/11 = 2 7/11

    Hence,
    29/11 as a mixed number is 2 7/11
    where,
    29/11 is a given fraction,
    2 7/11 is the mixed number representation of 29/11.

    For values other than 29/11, use this below tool:

    How-to: 29/11 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 29/11 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 29/11

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 29/11.


    step 2 The numerator is greater than the denominator of the fraction 29/11, so write the given fraction in the expression form in terms of denominator as like the below:
    = 29/11
    = 22 + 7/11
    = (2 x 11) + 7/11


    step 3 Make the above expression as individual fractions:
    = (2 x 11)/11 + 7/11


    step 4 Simplify the above expression:
    = 2 x 11/11 + 7/11
    = 2 + 7/11
    2 + 7/11 can be written as a mixed number 2 7/11.


    step 5 Find the decimal equivalent for the fractional part 7/11 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/11.
    = 2 + (7/11 x 100/100)


    step 6 Simplify the above expression further:
    = 2 + (700/11 x 1/100)
    = 2 + (693 + 7/11 x 1/100)
    = 2 + [(693/11 + 7/11 ) x 1/100]
    = 2 + [(63 + 7/11) x 1/100]


    step 7 Repeat the step 5 to find the decimal equivalent for the fraction 7/11 in the above expression:
    = 2 + [(63 + 7/11) x 1/100]
    = 2 + [(63 + 0.64) x 1/100]
    = 2 + (63.64 x 1/100)
    = 2 + 63.64/100
    = 2 + 0.6364


    step 8 Find the sum of above expression:
    = 2 + 0.6364
    = 2.6364
    29/11 = 2.6364

    Hence,
    29/11 as a decimal is 2.6364
    29/11 as a mixed number is 2 7/11


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