99/45 as a decimal and mixed number expansion provides the detailed information about what is 99/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
99/45 as a Decimal
99/45 = 2.2
Hence,
99/45 as a decimal equals to 2.2
where,
99/45 is a given fraction,
The decimal expansion of 99/45 is 2.2
99/45 as a Mixed Number
99/45 = (90 + 9)/45
= 90/45 + 9/45
= 2 + 9/45
= 2 9/45
99/45 = 2 9/45
Hence,
99/45 as a mixed number is 2 9/45
where,
99/45 is a given fraction,
2 9/45 is the mixed number representation of 99/45.
The below work with steps provide the detailed information about how to convert fraction 99/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 99/45
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 99/45.
step 2 The numerator is greater than the denominator of the fraction 99/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 99/45
= 90 + 9/45
= (2 x 45) + 9/45
step 3 Make the above expression as individual fractions:
= (2 x 45)/45 + 9/45
step 4 Simplify the above expression:
= 2 x 45/45 + 9/45
= 2 + 9/45
= 2 + 1 x 9/5 x 9
= 2 + 1/5
2 + 1/5 can be written as a mixed number 2 1/5.
step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 2 + (1/5 x 2/2)
= 2 + 2/10
step 6 Simplify the above expression further:
= 2 + 0.2
= 2.2
99/45 = 2.2
Hence,
99/45 as a decimal is 2.2
99/45 as a mixed number is 2 1/5