198/48 as a Decimal and Mixed Number

198/48 as a decimal and mixed number expansion provides the detailed information about what is 198/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/48 as a Decimal
198/48 = 4.125
Hence,
198/48 as a decimal equals to 4.125
where,
198/48 is a given fraction,
The decimal expansion of 198/48 is 4.125

198/48 as a Mixed Number
198/48 = (192 + 6)/48
= 192/48 + 6/48
= 4 + 6/48
= 4 6/48
198/48 = 4 6/48

Hence,
198/48 as a mixed number is 4 ⁶/₄₈
where,
198/48 is a given fraction,
4 ⁶/₄₈ is the mixed number representation of 198/48.

The below work with steps provide the detailed information about how to convert fraction 198/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/48.

step 2 The numerator is greater than the denominator of the fraction 198/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/48
= 192 + 6/48
= (4 x 48) + 6/48

step 3 Make the above expression as individual fractions:
= (4 x 48)/48 + 6/48

step 4 Simplify the above expression:
= 4 x 48/48 + 6/48
= 4 + 6/48
= 4 + 1 x 6/8 x 6
= 4 + 1/8
4 + 1/8 can be written as a mixed number 4 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 4 + (1/8 x 125/125)
= 4 + 125/1000

step 6 Simplify the above expression further:
= 4 + 0.125
= 4.125
198/48 = 4.125

Hence,
198/48 as a decimal is 4.125
198/48 as a mixed number is 4 ¹/₈