198/75 as a Decimal and Mixed Number

198/75 as a decimal and mixed number expansion provides the detailed information about what is 198/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/75 as a Decimal
198/75 = 2.64
Hence,
198/75 as a decimal equals to 2.64
where,
198/75 is a given fraction,
The decimal expansion of 198/75 is 2.64

198/75 as a Mixed Number
198/75 = (150 + 48)/75
= 150/75 + 48/75
= 2 + 48/75
= 2 48/75
198/75 = 2 48/75

Hence,
198/75 as a mixed number is 2 ⁴⁸/₇₅
where,
198/75 is a given fraction,
2 ⁴⁸/₇₅ is the mixed number representation of 198/75.

The below work with steps provide the detailed information about how to convert fraction 198/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/75

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/75.

step 2 The numerator is greater than the denominator of the fraction 198/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/75
= 150 + 48/75
= (2 x 75) + 48/75

step 3 Make the above expression as individual fractions:
= (2 x 75)/75 + 48/75

step 4 Simplify the above expression:
= 2 x 75/75 + 48/75
= 2 + 48/75
= 2 + 16 x 3/25 x 3
= 2 + 16/25
2 + 16/25 can be written as a mixed number 2 ¹⁶/₂₅.


step 5 Find the decimal equivalent for the fractional part 16/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 2 + (16/25 x 4/4)
= 2 + 64/100

step 6 Simplify the above expression further:
= 2 + 0.64
= 2.64
198/75 = 2.64

Hence,
198/75 as a decimal is 2.64
198/75 as a mixed number is 2 ¹⁶/₂₅