129/48 as a Decimal and Mixed Number

129/48 as a decimal and mixed number expansion provides the detailed information about what is 129/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

129/48 as a Decimal
129/48 = 2.6875
Hence,
129/48 as a decimal equals to 2.6875
where,
129/48 is a given fraction,
The decimal expansion of 129/48 is 2.6875

129/48 as a Mixed Number
129/48 = (96 + 33)/48
= 96/48 + 33/48
= 2 + 33/48
= 2 33/48
129/48 = 2 33/48

Hence,
129/48 as a mixed number is 2 ³³/₄₈
where,
129/48 is a given fraction,
2 ³³/₄₈ is the mixed number representation of 129/48.

The below work with steps provide the detailed information about how to convert fraction 129/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 129/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 129/48.

step 2 The numerator is greater than the denominator of the fraction 129/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 129/48
= 96 + 33/48
= (2 x 48) + 33/48

step 3 Make the above expression as individual fractions:
= (2 x 48)/48 + 33/48

step 4 Simplify the above expression:
= 2 x 48/48 + 33/48
= 2 + 33/48
= 2 + 11 x 3/16 x 3
= 2 + 11/16
2 + 11/16 can be written as a mixed number 2 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:
= 2 + (11/16 x 625/625)
= 2 + 6875/10000

step 6 Simplify the above expression further:
= 2 + 0.6875
= 2.6875
129/48 = 2.6875

Hence,
129/48 as a decimal is 2.6875
129/48 as a mixed number is 2 ¹¹/₁₆