164/16 as a Decimal and Mixed Number

164/16 as a decimal and mixed number expansion provides the detailed information about what is 164/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/16 as a Decimal
164/16 = 10.25
Hence,
164/16 as a decimal equals to 10.25
where,
164/16 is a given fraction,
The decimal expansion of 164/16 is 10.25

164/16 as a Mixed Number
164/16 = (160 + 4)/16
= 160/16 + 4/16
= 10 + 4/16
= 10 4/16
164/16 = 10 4/16

Hence,
164/16 as a mixed number is 10 ⁴/₁₆
where,
164/16 is a given fraction,
10 ⁴/₁₆ is the mixed number representation of 164/16.

The below work with steps provide the detailed information about how to convert fraction 164/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/16.

step 2 The numerator is greater than the denominator of the fraction 164/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/16
= 160 + 4/16
= (10 x 16) + 4/16

step 3 Make the above expression as individual fractions:
= (10 x 16)/16 + 4/16

step 4 Simplify the above expression:
= 10 x 16/16 + 4/16
= 10 + 4/16
= 10 + 1 x 4/4 x 4
= 10 + 1/4
10 + 1/4 can be written as a mixed number 10 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:
= 10 + (1/4 x 25/25)
= 10 + 25/100

step 6 Simplify the above expression further:
= 10 + 0.25
= 10.25
164/16 = 10.25

Hence,
164/16 as a decimal is 10.25
164/16 as a mixed number is 10 ¹/₄