38/33 as a decimal and mixed number expansion provides the detailed information about what is 38/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
38/33 as a Decimal Expansion
38/33 = 1.1515
Hence,
38/33 as a decimal equals to 1.1515
where,
38/33 is a given fraction,
The decimal expansion of 38/33 is 1.1515
38/33 as a Mixed Number
38/33 = (33 + 5)/33
= 33/33 + 5/33
= 1 + 5/33
= 1 5/33
38/33 = 1 5/33
Hence,
38/33 as a mixed number is 1 5/33
where,
38/33 is a given fraction,
1 5/33 is the mixed number representation of 38/33.
The below work with steps provide the detailed information about how to convert fraction 38/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 38/33
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 38/33.
step 2 The numerator is greater than the denominator of the fraction 38/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 38/33
= 33 + 5/33
step 3 Make the above expression as individual fractions:
= 33/33 + 5/33
step 4 Simplify the above expression:
= 1 x 33/33 + 5/33
= 1 + 5/33
1 + 5/33 can be written as a mixed number 1 5/33.
step 5 Find the decimal equivalent for the fractional part 5/33 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/33. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/33.
= 1 + (5/33 x 100/100)
step 6 Simplify the above expression further:
= 1 + (500/33 x 1/100)
= 1 + (495 + 5/33 x 1/100)
= 1 + [(495/33 + 5/33 ) x 1/100]
= 1 + [(15 + 5/33) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/33 in the above expression:
= 1 + [(15 + 5/33) x 1/100]
= 1 + [(15 + 0.15) x 1/100]
= 1 + (15.15 x 1/100)
= 1 + 15.15/100
= 1 + 0.1515
step 8 Find the sum of above expression:
= 1 + 0.1515
= 1.1515
38/33 = 1.1515
Hence,
38/33 as a decimal is 1.1515
38/33 as a mixed number is 1 5/33