149/48 as a Decimal and Mixed Number

149/48 as a decimal and mixed number expansion provides the detailed information about what is 149/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

149/48 as a Decimal
149/48 = 3.1042
Hence,
149/48 as a decimal equals to 3.1042
where,
149/48 is a given fraction,
The decimal expansion of 149/48 is 3.1042

149/48 as a Mixed Number
149/48 = (144 + 5)/48
= 144/48 + 5/48
= 3 + 5/48
= 3 5/48
149/48 = 3 5/48

Hence,
149/48 as a mixed number is 3 ⁵/₄₈
where,
149/48 is a given fraction,
3 ⁵/₄₈ is the mixed number representation of 149/48.

The below work with steps provide the detailed information about how to convert fraction 149/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 149/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 149/48.

step 2 The numerator is greater than the denominator of the fraction 149/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 149/48
= 144 + 5/48
= (3 x 48) + 5/48

step 3 Make the above expression as individual fractions:
= (3 x 48)/48 + 5/48

step 4 Simplify the above expression:
= 3 x 48/48 + 5/48
= 3 + 5/48
3 + 5/48 can be written as a mixed number 3 ⁵/₄₈.


step 5 Find the decimal equivalent for the fractional part 5/48 in the above expression:
= 3 + 0.1042
= 3.1042
149/48 = 3.1042

Hence,
149/48 as a decimal is 3.1042
149/48 as a mixed number is 3 ⁵/₄₈