Calculators & Converters

    52/45 as a Decimal and Mixed Number

    Fraction to Decimal Calculator

    52/45 as a decimal and mixed number expansion provides the detailed information about what is 52/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    52/45 as a Decimal Expansion
    52/45 = 1.1556
    Hence,
    52/45 as a decimal equals to 1.1556
    where,
    52/45 is a given fraction,
    The decimal expansion of 52/45 is 1.1556

    52/45 as a Mixed Number
    52/45 = (45 + 7)/45
    = 45/45 + 7/45
    = 1 + 7/45
    = 1 7/45
    52/45 = 1 7/45

    Hence,
    52/45 as a mixed number is 1 7/45
    where,
    52/45 is a given fraction,
    1 7/45 is the mixed number representation of 52/45.

    For values other than 52/45, use this below tool:

    How-to: 52/45 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 52/45 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 52/45

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 52/45.


    step 2 The numerator is greater than the denominator of the fraction 52/45, so write the given fraction in the expression form in terms of denominator as like the below:
    = 52/45
    = 45 + 7/45


    step 3 Make the above expression as individual fractions:
    = 45/45 + 7/45


    step 4 Simplify the above expression:
    = 1 x 45/45 + 7/45
    = 1 + 7/45
    1 + 7/45 can be written as a mixed number 1 7/45.


    step 5 Find the decimal equivalent for the fractional part 7/45 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/45. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/45.
    = 1 + (7/45 x 100/100)


    step 6 Simplify the above expression further:
    = 1 + (700/45 x 1/100)
    = 1 + (675 + 25/45 x 1/100)
    = 1 + [(675/45 + 25/45 ) x 1/100]
    = 1 + [(15 + 25/45) x 1/100]


    step 7 Repeat the step 5 to find the decimal equivalent for the fraction 25/45 in the above expression:
    = 1 + [(15 + 25/45) x 1/100]
    = 1 + [(15 + 0.56) x 1/100]
    = 1 + (15.56 x 1/100)
    = 1 + 15.56/100
    = 1 + 0.1556


    step 8 Find the sum of above expression:
    = 1 + 0.1556
    = 1.1556
    52/45 = 1.1556

    Hence,
    52/45 as a decimal is 1.1556
    52/45 as a mixed number is 1 7/45


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