198/88 as a Decimal and Mixed Number
198/88 as a decimal and mixed number expansion provides the detailed information about what is 198/88 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
198/88 as a Decimal
198/88 = 2.25
Hence,
198/88 as a decimal equals to 2.25
where,
198/88 is a given fraction,
The decimal expansion of 198/88 is 2.25
198/88 as a Mixed Number
198/88 = (176 + 22)/88
= 176/88 + 22/88
= 2 + 22/88
= 2 22/88
198/88 = 2 22/88
Hence,
198/88 as a mixed number is 2 22/88
where,
198/88 is a given fraction,
2 22/88 is the mixed number representation of 198/88.
How-to: 198/88 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 198/88 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/88
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/88.
step 2 The numerator is greater than the denominator of the fraction 198/88, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/88
= 176 + 22/88
= (2 x 88) + 22/88
step 3 Make the above expression as individual fractions:
= (2 x 88)/88 + 22/88
step 4 Simplify the above expression:
= 2 x 88/88 + 22/88
= 2 + 22/88
= 2 + 1 x 22/4 x 22
= 2 + 1/4
2 + 1/4 can be written as a mixed number 2 1/4.
step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (1/4 x 25/25)
= 2 + 25/100
step 6 Simplify the above expression further:
= 2 + 0.25
= 2.25
198/88 = 2.25
Hence,
198/88 as a decimal is 2.25
198/88 as a mixed number is 2 1/4