49/48 as a Decimal and Mixed Number

49/48 as a decimal and mixed number expansion provides the detailed information about what is 49/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

49/48 as a Decimal
49/48 = 1.0208
Hence,
49/48 as a decimal equals to 1.0208
where,
49/48 is a given fraction,
The decimal expansion of 49/48 is 1.0208

49/48 as a Mixed Number
49/48 = (48 + 1)/48
= 48/48 + 1/48
= 1 + 1/48
= 1 1/48
49/48 = 1 1/48

Hence,
49/48 as a mixed number is 1 ¹/₄₈
where,
49/48 is a given fraction,
1 ¹/₄₈ is the mixed number representation of 49/48.

The below work with steps provide the detailed information about how to convert fraction 49/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 49/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 49/48.

step 2 The numerator is greater than the denominator of the fraction 49/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 49/48
= 48 + 1/48

step 3 Make the above expression as individual fractions:
= 48/48 + 1/48

step 4 Simplify the above expression:
= 1 + 1/48
1 + 1/48 can be written as a mixed number 1 ¹/₄₈


step 5 Find the decimal equivalent for the fractional part 1/48 in the above expression:
= 1 + 0.0208
= 1.0208
49/48 = 1.0208

Hence,
49/48 as a decimal is 1.0208
49/48 as a mixed number is 1 ¹/₄₈