133/48 as a Decimal and Mixed Number

133/48 as a decimal and mixed number expansion provides the detailed information about what is 133/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

133/48 as a Decimal
133/48 = 2.7708
Hence,
133/48 as a decimal equals to 2.7708
where,
133/48 is a given fraction,
The decimal expansion of 133/48 is 2.7708

133/48 as a Mixed Number
133/48 = (96 + 37)/48
= 96/48 + 37/48
= 2 + 37/48
= 2 37/48
133/48 = 2 37/48

Hence,
133/48 as a mixed number is 2 ³⁷/₄₈
where,
133/48 is a given fraction,
2 ³⁷/₄₈ is the mixed number representation of 133/48.

The below work with steps provide the detailed information about how to convert fraction 133/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 133/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 133/48.

step 2 The numerator is greater than the denominator of the fraction 133/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 133/48
= 96 + 37/48
= (2 x 48) + 37/48

step 3 Make the above expression as individual fractions:
= (2 x 48)/48 + 37/48

step 4 Simplify the above expression:
= 2 x 48/48 + 37/48
= 2 + 37/48
2 + 37/48 can be written as a mixed number 2 ³⁷/₄₈.


step 5 Find the decimal equivalent for the fractional part 37/48 in the above expression:
= 2 + 0.7708
= 2.7708
133/48 = 2.7708

Hence,
133/48 as a decimal is 2.7708
133/48 as a mixed number is 2 ³⁷/₄₈