81/48 as a Decimal and Mixed Number

81/48 as a decimal and mixed number expansion provides the detailed information about what is 81/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

81/48 as a Decimal
81/48 = 1.6875
Hence,
81/48 as a decimal equals to 1.6875
where,
81/48 is a given fraction,
The decimal expansion of 81/48 is 1.6875

81/48 as a Mixed Number
81/48 = (48 + 33)/48
= 48/48 + 33/48
= 1 + 33/48
= 1 33/48
81/48 = 1 33/48

Hence,
81/48 as a mixed number is 1 ³³/₄₈
where,
81/48 is a given fraction,
1 ³³/₄₈ is the mixed number representation of 81/48.

The below work with steps provide the detailed information about how to convert fraction 81/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 81/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 81/48.

step 2 The numerator is greater than the denominator of the fraction 81/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 81/48
= 48 + 33/48

step 3 Make the above expression as individual fractions:
= 48/48 + 33/48

step 4 Simplify the above expression:
= 1 x 48/48 + 33/48
= 1 + 33/48
= 1 + 11 x 3/16 x 3
= 1 + 11/16
1 + 11/16 can be written as a mixed number 1 ¹¹/₁₆.


step 5 Find the decimal equivalent for the fractional part 11/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (11/16 x 625/625)
= 1 + 6875/10000

step 6 Simplify the above expression further:
= 1 + 0.6875
= 1.6875
81/48 = 1.6875

Hence,
81/48 as a decimal is 1.6875
81/48 as a mixed number is 1 ¹¹/₁₆