99/55 as a decimal and mixed number expansion provides the detailed information about what is 99/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
99/55 as a Decimal
99/55 = 1.8
Hence,
99/55 as a decimal equals to 1.8
where,
99/55 is a given fraction,
The decimal expansion of 99/55 is 1.8
99/55 as a Mixed Number
99/55 = (55 + 44)/55
= 55/55 + 44/55
= 1 + 44/55
= 1 44/55
99/55 = 1 44/55
Hence,
99/55 as a mixed number is 1 44/55
where,
99/55 is a given fraction,
1 44/55 is the mixed number representation of 99/55.
The below work with steps provide the detailed information about how to convert fraction 99/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 99/55
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 99/55.
step 2 The numerator is greater than the denominator of the fraction 99/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 99/55
= 55 + 44/55
step 3 Make the above expression as individual fractions:
= 55/55 + 44/55
step 4 Simplify the above expression:
= 1 x 55/55 + 44/55
= 1 + 44/55
= 1 + 4 x 11/5 x 11
= 1 + 4/5
1 + 4/5 can be written as a mixed number 1 4/5.
step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (4/5 x 2/2)
= 1 + 8/10
step 6 Simplify the above expression further:
= 1 + 0.8
= 1.8
99/55 = 1.8
Hence,
99/55 as a decimal is 1.8
99/55 as a mixed number is 1 4/5