33/16 as a Decimal and Mixed Number

33/16 as a decimal and mixed number expansion provides the detailed information about what is 33/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

33/16 as a Decimal Expansion
33/16 = 2.0625
Hence,
33/16 as a decimal equals to 2.0625
where,
33/16 is a given fraction,
The decimal expansion of 33/16 is 2.0625

33/16 as a Mixed Number
33/16 = (32 + 1)/16
= 32/16 + 1/16
= 2 + 1/16
= 2 1/16
33/16 = 2 1/16

Hence,
33/16 as a mixed number is 2 ¹/₁₆
where,
33/16 is a given fraction,
2 ¹/₁₆ is the mixed number representation of 33/16.

The below work with steps provide the detailed information about how to convert fraction 33/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 33/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 33/16.

step 2 The numerator is greater than the denominator of the fraction 33/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 33/16
= 32 + 1/16
= (2 x 16) + 1/16

step 3 Make the above expression as individual fractions:
= (2 x 16)/16 + 1/16

step 4 Simplify the above expression:
= 2 x 16/16 + 1/16
= 2 + 1/16
2 + 1/16 can be written as a mixed number 2 ¹/₁₆.


step 5 Find the decimal equivalent for the fractional part 1/16 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/16. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/16.
= 2 + (1/16 x 100/100)

step 6 Simplify the above expression further:
= 2 + (100/16 x 1/100)
= 2 + (96 + 4/16 x 1/100)
= 2 + [(96/16 + 4/16 ) x 1/100]
= 2 + [(6 + 4/16) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/16 in the above expression:
= 2 + [(6 + 4/16) x 1/100]
= 2 + [(6 + 0.25) x 1/100]
= 2 + (6.25 x 1/100)
= 2 + 6.25/100
= 2 + 0.0625

step 8 Find the sum of above expression:
= 2 + 0.0625
= 2.0625
33/16 = 2.0625

Hence,
33/16 as a decimal is 2.0625
33/16 as a mixed number is 2 ¹/₁₆