35/9 as a Decimal and Mixed Number
35/9 as a decimal and mixed number expansion provides the detailed information about what is 35/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
35/9 as a Decimal Expansion
35/9 = 3.8889
Hence,
35/9 as a decimal equals to 3.8889
where,
35/9 is a given fraction,
The decimal expansion of 35/9 is 3.8889
35/9 as a Mixed Number
35/9 = (27 + 8)/9
= 27/9 + 8/9
= 3 + 8/9
= 3 8/9
35/9 = 3 8/9
Hence,
35/9 as a mixed number is 3 8/9
where,
35/9 is a given fraction,
3 8/9 is the mixed number representation of 35/9.
How-to: 35/9 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 35/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 35/9
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 35/9.
step 2 The numerator is greater than the denominator of the fraction 35/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 35/9
= 27 + 8/9
= (3 x 9) + 8/9
step 3 Make the above expression as individual fractions:
= (3 x 9)/9 + 8/9
step 4 Simplify the above expression:
= 3 x 9/9 + 8/9
= 3 + 8/9
3 + 8/9 can be written as a mixed number 3 8/9.
step 5 Find the decimal equivalent for the fractional part 8/9 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 8/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 8/9.
= 3 + (8/9 x 10/10)
step 6 Simplify the above expression further:
= 3 + (80/9 x 1/10)
= 3 + (72 + 8/9 x 1/10)
= 3 + [(72/9 + 8/9 ) x 1/10]
= 3 + [(8 + 8/9) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 8/9 in the above expression:
= 3 + [(8 + 8/9) x 1/10]
= 3 + [(8 + 0.89) x 1/10]
= 3 + (8.89 x 1/10)
= 3 + 8.89/10
= 3 + 0.889
step 8 Find the sum of above expression:
= 3 + 0.889
= 3.889
35/9 = 3.889
Hence,
35/9 as a decimal is 3.889
35/9 as a mixed number is 3 8/9