Calculators & Converters

    16/9 as a Decimal and Mixed Number

    Fraction to Decimal Calculator

    16/9 as a decimal and mixed number expansion provides the detailed information about what is 16/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    16/9 as a Decimal Expansion
    16/9 = 1.7778
    Hence,
    16/9 as a decimal equals to 1.7778
    where,
    16/9 is a given fraction,
    The decimal expansion of 16/9 is 1.7778

    16/9 as a Mixed Number
    16/9 = (9 + 7)/9
    = 9/9 + 7/9
    = 1 + 7/9
    = 1 7/9
    16/9 = 1 7/9

    Hence,
    16/9 as a mixed number is 1 7/9
    where,
    16/9 is a given fraction,
    1 7/9 is the mixed number representation of 16/9.

    For values other than 16/9, use this below tool:

    How-to: 16/9 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 16/9 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 16/9

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 16/9.


    step 2 The numerator is greater than the denominator of the fraction 16/9, so write the given fraction in the expression form in terms of denominator as like the below:
    = 16/9
    = 9 + 7/9


    step 3 Make the above expression as individual fractions:
    = 9/9 + 7/9


    step 4 Simplify the above expression:
    = 1 x 9/9 + 7/9
    = 1 + 7/9
    1 + 7/9 can be written as a mixed number 1 7/9.


    step 5 Find the decimal equivalent for the fractional part 7/9 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 7/9.
    = 1 + (7/9 x 10/10)


    step 6 Simplify the above expression further:
    = 1 + (70/9 x 1/10)
    = 1 + (63 + 7/9 x 1/10)
    = 1 + [(63/9 + 7/9 ) x 1/10]
    = 1 + [(7 + 7/9) x 1/10]


    step 7 Repeat the step 5 to find the decimal equivalent for the fraction 7/9 in the above expression:
    = 1 + [(7 + 7/9) x 1/10]
    = 1 + [(7 + 0.78) x 1/10]
    = 1 + (7.78 x 1/10)
    = 1 + 7.78/10
    = 1 + 0.778


    step 8 Find the sum of above expression:
    = 1 + 0.778
    = 1.778
    16/9 = 1.778

    Hence,
    16/9 as a decimal is 1.778
    16/9 as a mixed number is 1 7/9


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