100/16 as a Decimal and Mixed Number

100/16 as a decimal and mixed number expansion provides the detailed information about what is 100/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

100/16 as a Decimal
100/16 = 6.25
Hence,
100/16 as a decimal equals to 6.25
where,
100/16 is a given fraction,
The decimal expansion of 100/16 is 6.25

100/16 as a Mixed Number
100/16 = (96 + 4)/16
= 96/16 + 4/16
= 6 + 4/16
= 6 4/16
100/16 = 6 4/16

Hence,
100/16 as a mixed number is 6 ⁴/₁₆
where,
100/16 is a given fraction,
6 ⁴/₁₆ is the mixed number representation of 100/16.

The below work with steps provide the detailed information about how to convert fraction 100/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 100/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 100/16.

step 2 The numerator is greater than the denominator of the fraction 100/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 100/16
= 96 + 4/16
= (6 x 16) + 4/16

step 3 Make the above expression as individual fractions:
= (6 x 16)/16 + 4/16

step 4 Simplify the above expression:
= 6 x 16/16 + 4/16
= 6 + 4/16
= 6 + 1 x 4/4 x 4
= 6 + 1/4
6 + 1/4 can be written as a mixed number 6 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 6 + (1/4 x 25/25)
= 6 + 25/100

step 6 Simplify the above expression further:
= 6 + 0.25
= 6.25
100/16 = 6.25

Hence,
100/16 as a decimal is 6.25
100/16 as a mixed number is 6 ¹/₄