52/33 as a decimal and mixed number expansion provides the detailed information about what is 52/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
52/33 as a Decimal Expansion
52/33 = 1.5758
Hence,
52/33 as a decimal equals to 1.5758
where,
52/33 is a given fraction,
The decimal expansion of 52/33 is 1.5758
52/33 as a Mixed Number
52/33 = (33 + 19)/33
= 33/33 + 19/33
= 1 + 19/33
= 1 19/33
52/33 = 1 19/33
Hence,
52/33 as a mixed number is 1 19/33
where,
52/33 is a given fraction,
1 19/33 is the mixed number representation of 52/33.
The below work with steps provide the detailed information about how to convert fraction 52/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 52/33
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 52/33.
step 2 The numerator is greater than the denominator of the fraction 52/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 52/33
= 33 + 19/33
step 3 Make the above expression as individual fractions:
= 33/33 + 19/33
step 4 Simplify the above expression:
= 1 x 33/33 + 19/33
= 1 + 19/33
1 + 19/33 can be written as a mixed number 1 19/33.
step 5 Find the decimal equivalent for the fractional part 19/33 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 19/33. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 19/33.
= 1 + (19/33 x 10/10)
step 6 Simplify the above expression further:
= 1 + (190/33 x 1/10)
= 1 + (165 + 25/33 x 1/10)
= 1 + [(165/33 + 25/33 ) x 1/10]
= 1 + [(5 + 25/33) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 25/33 in the above expression:
= 1 + [(5 + 25/33) x 1/10]
= 1 + [(5 + 0.76) x 1/10]
= 1 + (5.76 x 1/10)
= 1 + 5.76/10
= 1 + 0.576
step 8 Find the sum of above expression:
= 1 + 0.576
= 1.576
52/33 = 1.576
Hence,
52/33 as a decimal is 1.576
52/33 as a mixed number is 1 19/33