110/16 as a Decimal and Mixed Number
110/16 as a decimal and mixed number expansion provides the detailed information about what is 110/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
110/16 as a Decimal
110/16 = 6.875
Hence,
110/16 as a decimal equals to 6.875
where,
110/16 is a given fraction,
The decimal expansion of 110/16 is 6.875
110/16 as a Mixed Number
110/16 = (96 + 14)/16
= 96/16 + 14/16
= 6 + 14/16
= 6 14/16
110/16 = 6 14/16
Hence,
110/16 as a mixed number is 6 14/16
where,
110/16 is a given fraction,
6 14/16 is the mixed number representation of 110/16.
How-to: 110/16 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 110/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 110/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 110/16.
step 2 The numerator is greater than the denominator of the fraction 110/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 110/16
= 96 + 14/16
= (6 x 16) + 14/16
step 3 Make the above expression as individual fractions:
= (6 x 16)/16 + 14/16
step 4 Simplify the above expression:
= 6 x 16/16 + 14/16
= 6 + 14/16
= 6 + 7 x 2/8 x 2
= 6 + 7/8
6 + 7/8 can be written as a mixed number 6 7/8.
step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 6 + (7/8 x 125/125)
= 6 + 875/1000
step 6 Simplify the above expression further:
= 6 + 0.875
= 6.875
110/16 = 6.875
Hence,
110/16 as a decimal is 6.875
110/16 as a mixed number is 6 7/8