35/11 as a Decimal and Mixed Number
35/11 as a decimal and mixed number expansion provides the detailed information about what is 35/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
35/11 as a Decimal Expansion
35/11 = 3.1818
Hence,
35/11 as a decimal equals to 3.1818
where,
35/11 is a given fraction,
The decimal expansion of 35/11 is 3.1818
35/11 as a Mixed Number
35/11 = (33 + 2)/11
= 33/11 + 2/11
= 3 + 2/11
= 3 2/11
35/11 = 3 2/11
Hence,
35/11 as a mixed number is 3 2/11
where,
35/11 is a given fraction,
3 2/11 is the mixed number representation of 35/11.
How-to: 35/11 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 35/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 35/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 35/11.
step 2 The numerator is greater than the denominator of the fraction 35/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 35/11
= 33 + 2/11
= (3 x 11) + 2/11
step 3 Make the above expression as individual fractions:
= (3 x 11)/11 + 2/11
step 4 Simplify the above expression:
= 3 x 11/11 + 2/11
= 3 + 2/11
3 + 2/11 can be written as a mixed number 3 2/11.
step 5 Find the decimal equivalent for the fractional part 2/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 2/11.
= 3 + (2/11 x 100/100)
step 6 Simplify the above expression further:
= 3 + (200/11 x 1/100)
= 3 + (198 + 2/11 x 1/100)
= 3 + [(198/11 + 2/11 ) x 1/100]
= 3 + [(18 + 2/11) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/11 in the above expression:
= 3 + [(18 + 2/11) x 1/100]
= 3 + [(18 + 0.18) x 1/100]
= 3 + (18.18 x 1/100)
= 3 + 18.18/100
= 3 + 0.1818
step 8 Find the sum of above expression:
= 3 + 0.1818
= 3.1818
35/11 = 3.1818
Hence,
35/11 as a decimal is 3.1818
35/11 as a mixed number is 3 2/11