51/6 as a Decimal and Mixed Number

51/6 as a decimal and mixed number expansion provides the detailed information about what is 51/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

51/6 as a Decimal
51/6 = 8.5
Hence,
51/6 as a decimal equals to 8.5
where,
51/6 is a given fraction,
The decimal expansion of 51/6 is 8.5

51/6 as a Mixed Number
51/6 = (48 + 3)/6
= 48/6 + 3/6
= 8 + 3/6
= 8 3/6
51/6 = 8 3/6

Hence,
51/6 as a mixed number is 8 ³/₆
where,
51/6 is a given fraction,
8 ³/₆ is the mixed number representation of 51/6.

The below work with steps provide the detailed information about how to convert fraction 51/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 51/6

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 51/6.

step 2 The numerator is greater than the denominator of the fraction 51/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 51/6
= 48 + 3/6
= (8 x 6) + 3/6

step 3 Make the above expression as individual fractions:
= (8 x 6)/6 + 3/6

step 4 Simplify the above expression:
= 8 x 6/6 + 3/6
= 8 + 3/6
= 8 + 1 x 3/2 x 3
= 8 + 1/2
8 + 1/2 can be written as a mixed number 8 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 8 + (1/2 x 5/5)
= 8 + 5/10

step 6 Simplify the above expression further:
= 8 + 0.5
= 8.5
51/6 = 8.5

Hence,
51/6 as a decimal is 8.5
51/6 as a mixed number is 8 ¹/₂