33/8 as a Decimal and Mixed Number
33/8 as a decimal and mixed number expansion provides the detailed information about what is 33/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
33/8 as a Decimal Expansion
33/8 = 4.125
Hence,
33/8 as a decimal equals to 4.125
where,
33/8 is a given fraction,
The decimal expansion of 33/8 is 4.125
33/8 as a Mixed Number
33/8 = (32 + 1)/8
= 32/8 + 1/8
= 4 + 1/8
= 4 1/8
33/8 = 4 1/8
Hence,
33/8 as a mixed number is 4 1/8
where,
33/8 is a given fraction,
4 1/8 is the mixed number representation of 33/8.
How-to: 33/8 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 33/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 33/8
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 33/8.
step 2 The numerator is greater than the denominator of the fraction 33/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 33/8
= 32 + 1/8
= (4 x 8) + 1/8
step 3 Make the above expression as individual fractions:
= (4 x 8)/8 + 1/8
step 4 Simplify the above expression:
= 4 x 8/8 + 1/8
= 4 + 1/8
4 + 1/8 can be written as a mixed number 4 1/8.
step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/8. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/8.
= 4 + (1/8 x 10/10)
step 6 Simplify the above expression further:
= 4 + (10/8 x 1/10)
= 4 + (8 + 2/8 x 1/10)
= 4 + [(8/8 + 2/8 ) x 1/10]
= 4 + [(1 + 2/8) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/8 in the above expression:
= 4 + [(1 + 2/8) x 1/10]
= 4 + [(1 + 0.25) x 1/10]
= 4 + (1.25 x 1/10)
= 4 + 1.25/10
= 4 + 0.125
step 8 Find the sum of above expression:
= 4 + 0.125
= 4.125
33/8 = 4.125
Hence,
33/8 as a decimal is 4.125
33/8 as a mixed number is 4 1/8