39/11 as a Decimal and Mixed Number
39/11 as a decimal and mixed number expansion provides the detailed information about what is 39/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
39/11 as a Decimal Expansion
39/11 = 3.5455
Hence,
39/11 as a decimal equals to 3.5455
where,
39/11 is a given fraction,
The decimal expansion of 39/11 is 3.5455
39/11 as a Mixed Number
39/11 = (33 + 6)/11
= 33/11 + 6/11
= 3 + 6/11
= 3 6/11
39/11 = 3 6/11
Hence,
39/11 as a mixed number is 3 6/11
where,
39/11 is a given fraction,
3 6/11 is the mixed number representation of 39/11.
How-to: 39/11 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 39/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 39/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 39/11.
step 2 The numerator is greater than the denominator of the fraction 39/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 39/11
= 33 + 6/11
= (3 x 11) + 6/11
step 3 Make the above expression as individual fractions:
= (3 x 11)/11 + 6/11
step 4 Simplify the above expression:
= 3 x 11/11 + 6/11
= 3 + 6/11
3 + 6/11 can be written as a mixed number 3 6/11.
step 5 Find the decimal equivalent for the fractional part 6/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 6/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 6/11.
= 3 + (6/11 x 100/100)
step 6 Simplify the above expression further:
= 3 + (600/11 x 1/100)
= 3 + (594 + 6/11 x 1/100)
= 3 + [(594/11 + 6/11 ) x 1/100]
= 3 + [(54 + 6/11) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/11 in the above expression:
= 3 + [(54 + 6/11) x 1/100]
= 3 + [(54 + 0.55) x 1/100]
= 3 + (54.55 x 1/100)
= 3 + 54.55/100
= 3 + 0.5455
step 8 Find the sum of above expression:
= 3 + 0.5455
= 3.5455
39/11 = 3.5455
Hence,
39/11 as a decimal is 3.5455
39/11 as a mixed number is 3 6/11