102/16 as a Decimal and Mixed Number

102/16 as a decimal and mixed number expansion provides the detailed information about what is 102/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/16 as a Decimal
102/16 = 6.375
Hence,
102/16 as a decimal equals to 6.375
where,
102/16 is a given fraction,
The decimal expansion of 102/16 is 6.375

102/16 as a Mixed Number
102/16 = (96 + 6)/16
= 96/16 + 6/16
= 6 + 6/16
= 6 6/16
102/16 = 6 6/16

Hence,
102/16 as a mixed number is 6 ⁶/₁₆
where,
102/16 is a given fraction,
6 ⁶/₁₆ is the mixed number representation of 102/16.

The below work with steps provide the detailed information about how to convert fraction 102/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/16.

step 2 The numerator is greater than the denominator of the fraction 102/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/16
= 96 + 6/16
= (6 x 16) + 6/16

step 3 Make the above expression as individual fractions:
= (6 x 16)/16 + 6/16

step 4 Simplify the above expression:
= 6 x 16/16 + 6/16
= 6 + 6/16
= 6 + 3 x 2/8 x 2
= 6 + 3/8
6 + 3/8 can be written as a mixed number 6 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 6 + (3/8 x 125/125)
= 6 + 375/1000

step 6 Simplify the above expression further:
= 6 + 0.375
= 6.375
102/16 = 6.375

Hence,
102/16 as a decimal is 6.375
102/16 as a mixed number is 6 ³/₈