148/30 as a Decimal and Mixed Number

148/30 as a decimal and mixed number expansion provides the detailed information about what is 148/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

148/30 as a Decimal
148/30 = 4.9333
Hence,
148/30 as a decimal equals to 4.9333
where,
148/30 is a given fraction,
The decimal expansion of 148/30 is 4.9333

148/30 as a Mixed Number
148/30 = (120 + 28)/30
= 120/30 + 28/30
= 4 + 28/30
= 4 28/30
148/30 = 4 28/30

Hence,
148/30 as a mixed number is 4 ²⁸/₃₀
where,
148/30 is a given fraction,
4 ²⁸/₃₀ is the mixed number representation of 148/30.

The below work with steps provide the detailed information about how to convert fraction 148/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 148/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 148/30.

step 2 The numerator is greater than the denominator of the fraction 148/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 148/30
= 120 + 28/30
= (4 x 30) + 28/30

step 3 Make the above expression as individual fractions:
= (4 x 30)/30 + 28/30

step 4 Simplify the above expression:
= 4 x 30/30 + 28/30
= 4 + 28/30
= 4 + 14 x 2/15 x 2
= 4 + 14/15
4 + 14/15 can be written as a mixed number 4 ¹⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 14/15 in the above expression:
= 4 + 0.9333
= 4.9333
148/30 = 4.9333

Hence,
148/30 as a decimal is 4.9333
148/30 as a mixed number is 4 ¹⁴/₁₅