75/38 as a Decimal and Mixed Number

75/38 as a decimal and mixed number expansion provides the detailed information about what is 75/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

75/38 as a Decimal
75/38 = 1.9737
Hence,
75/38 as a decimal equals to 1.9737
where,
75/38 is a given fraction,
The decimal expansion of 75/38 is 1.9737

75/38 as a Mixed Number
75/38 = (38 + 37)/38
= 38/38 + 37/38
= 1 + 37/38
= 1 37/38
75/38 = 1 37/38

Hence,
75/38 as a mixed number is 1 ³⁷/₃₈
where,
75/38 is a given fraction,
1 ³⁷/₃₈ is the mixed number representation of 75/38.

The below work with steps provide the detailed information about how to convert fraction 75/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/38.

step 2 The numerator is greater than the denominator of the fraction 75/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/38
= 38 + 37/38

step 3 Make the above expression as individual fractions:
= 38/38 + 37/38

step 4 Simplify the above expression:
= 1 x 38/38 + 37/38
= 1 + 37/38
1 + 37/38 can be written as a mixed number 1 ³⁷/₃₈.


step 5 Find the decimal equivalent for the fractional part 37/38 in the above expression:
= 1 + 0.9737
= 1.9737
75/38 = 1.9737

Hence,
75/38 as a decimal is 1.9737
75/38 as a mixed number is 1 ³⁷/₃₈