168/16 as a decimal and mixed number expansion provides the detailed information about what is 168/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
168/16 as a Decimal
168/16 = 10.5
Hence,
168/16 as a decimal equals to 10.5
where,
168/16 is a given fraction,
The decimal expansion of 168/16 is 10.5
168/16 as a Mixed Number
168/16 = (160 + 8)/16
= 160/16 + 8/16
= 10 + 8/16
= 10 8/16
168/16 = 10 8/16
Hence,
168/16 as a mixed number is 10 8/16
where,
168/16 is a given fraction,
10 8/16 is the mixed number representation of 168/16.
The below work with steps provide the detailed information about how to convert fraction 168/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 168/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 168/16.
step 2 The numerator is greater than the denominator of the fraction 168/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 168/16
= 160 + 8/16
= (10 x 16) + 8/16
step 3 Make the above expression as individual fractions:
= (10 x 16)/16 + 8/16
step 4 Simplify the above expression:
= 10 x 16/16 + 8/16
= 10 + 8/16
= 10 + 1 x 8/2 x 8
= 10 + 1/2
10 + 1/2 can be written as a mixed number 10 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:
= 10 + (1/2 x 5/5)
= 10 + 5/10
step 6 Simplify the above expression further:
= 10 + 0.5
= 10.5
168/16 = 10.5
Hence,
168/16 as a decimal is 10.5
168/16 as a mixed number is 10 1/2