94/16 as a Decimal and Mixed Number

94/16 as a decimal and mixed number expansion provides the detailed information about what is 94/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

94/16 as a Decimal
94/16 = 5.875
Hence,
94/16 as a decimal equals to 5.875
where,
94/16 is a given fraction,
The decimal expansion of 94/16 is 5.875

94/16 as a Mixed Number
94/16 = (80 + 14)/16
= 80/16 + 14/16
= 5 + 14/16
= 5 14/16
94/16 = 5 14/16

Hence,
94/16 as a mixed number is 5 ¹⁴/₁₆
where,
94/16 is a given fraction,
5 ¹⁴/₁₆ is the mixed number representation of 94/16.

The below work with steps provide the detailed information about how to convert fraction 94/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 94/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 94/16.

step 2 The numerator is greater than the denominator of the fraction 94/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 94/16
= 80 + 14/16
= (5 x 16) + 14/16

step 3 Make the above expression as individual fractions:
= (5 x 16)/16 + 14/16

step 4 Simplify the above expression:
= 5 x 16/16 + 14/16
= 5 + 14/16
= 5 + 7 x 2/8 x 2
= 5 + 7/8
5 + 7/8 can be written as a mixed number 5 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:
= 5 + (7/8 x 125/125)
= 5 + 875/1000

step 6 Simplify the above expression further:
= 5 + 0.875
= 5.875
94/16 = 5.875

Hence,
94/16 as a decimal is 5.875
94/16 as a mixed number is 5 ⁷/₈