32/9 as a Decimal and Mixed Number
32/9 as a decimal and mixed number expansion provides the detailed information about what is 32/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
32/9 as a Decimal Expansion
32/9 = 3.5556
Hence,
32/9 as a decimal equals to 3.5556
where,
32/9 is a given fraction,
The decimal expansion of 32/9 is 3.5556
32/9 as a Mixed Number
32/9 = (27 + 5)/9
= 27/9 + 5/9
= 3 + 5/9
= 3 5/9
32/9 = 3 5/9
Hence,
32/9 as a mixed number is 3 5/9
where,
32/9 is a given fraction,
3 5/9 is the mixed number representation of 32/9.
How-to: 32/9 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 32/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 32/9
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 32/9.
step 2 The numerator is greater than the denominator of the fraction 32/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 32/9
= 27 + 5/9
= (3 x 9) + 5/9
step 3 Make the above expression as individual fractions:
= (3 x 9)/9 + 5/9
step 4 Simplify the above expression:
= 3 x 9/9 + 5/9
= 3 + 5/9
3 + 5/9 can be written as a mixed number 3 5/9.
step 5 Find the decimal equivalent for the fractional part 5/9 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 5/9.
= 3 + (5/9 x 10/10)
step 6 Simplify the above expression further:
= 3 + (50/9 x 1/10)
= 3 + (45 + 5/9 x 1/10)
= 3 + [(45/9 + 5/9 ) x 1/10]
= 3 + [(5 + 5/9) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/9 in the above expression:
= 3 + [(5 + 5/9) x 1/10]
= 3 + [(5 + 0.56) x 1/10]
= 3 + (5.56 x 1/10)
= 3 + 5.56/10
= 3 + 0.556
step 8 Find the sum of above expression:
= 3 + 0.556
= 3.556
32/9 = 3.556
Hence,
32/9 as a decimal is 3.556
32/9 as a mixed number is 3 5/9