175/48 as a Decimal and Mixed Number

175/48 as a decimal and mixed number expansion provides the detailed information about what is 175/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

175/48 as a Decimal
175/48 = 3.6458
Hence,
175/48 as a decimal equals to 3.6458
where,
175/48 is a given fraction,
The decimal expansion of 175/48 is 3.6458

175/48 as a Mixed Number
175/48 = (144 + 31)/48
= 144/48 + 31/48
= 3 + 31/48
= 3 31/48
175/48 = 3 31/48

Hence,
175/48 as a mixed number is 3 ³¹/₄₈
where,
175/48 is a given fraction,
3 ³¹/₄₈ is the mixed number representation of 175/48.

The below work with steps provide the detailed information about how to convert fraction 175/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 175/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 175/48.

step 2 The numerator is greater than the denominator of the fraction 175/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 175/48
= 144 + 31/48
= (3 x 48) + 31/48

step 3 Make the above expression as individual fractions:
= (3 x 48)/48 + 31/48

step 4 Simplify the above expression:
= 3 x 48/48 + 31/48
= 3 + 31/48
3 + 31/48 can be written as a mixed number 3 ³¹/₄₈.


step 5 Find the decimal equivalent for the fractional part 31/48 in the above expression:
= 3 + 0.6458
= 3.6458
175/48 = 3.6458

Hence,
175/48 as a decimal is 3.6458
175/48 as a mixed number is 3 ³¹/₄₈