19/9 as a Decimal and Mixed Number
19/9 as a decimal and mixed number expansion provides the detailed information about what is 19/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
19/9 as a Decimal Expansion
19/9 = 2.1111
Hence,
19/9 as a decimal equals to 2.1111
where,
19/9 is a given fraction,
The decimal expansion of 19/9 is 2.1111
19/9 as a Mixed Number
19/9 = (18 + 1)/9
= 18/9 + 1/9
= 2 + 1/9
= 2 1/9
19/9 = 2 1/9
Hence,
19/9 as a mixed number is 2 1/9
where,
19/9 is a given fraction,
2 1/9 is the mixed number representation of 19/9.
How-to: 19/9 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 19/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 19/9
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 19/9.
step 2 The numerator is greater than the denominator of the fraction 19/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 19/9
= 18 + 1/9
= (2 x 9) + 1/9
step 3 Make the above expression as individual fractions:
= (2 x 9)/9 + 1/9
step 4 Simplify the above expression:
= 2 x 9/9 + 1/9
= 2 + 1/9
2 + 1/9 can be written as a mixed number 2 1/9.
step 5 Find the decimal equivalent for the fractional part 1/9 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/9.
= 2 + (1/9 x 10/10)
step 6 Simplify the above expression further:
= 2 + (10/9 x 1/10)
= 2 + (9 + 1/9 x 1/10)
= 2 + [(9/9 + 1/9 ) x 1/10]
= 2 + [(1 + 1/9) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/9 in the above expression:
= 2 + [(1 + 1/9) x 1/10]
= 2 + [(1 + 0.11) x 1/10]
= 2 + (1.11 x 1/10)
= 2 + 1.11/10
= 2 + 0.111
step 8 Find the sum of above expression:
= 2 + 0.111
= 2.111
19/9 = 2.111
Hence,
19/9 as a decimal is 2.111
19/9 as a mixed number is 2 1/9