83/16 in Decimal and Mixed Number Form

83/16 in decimal and mixed number form provides the detailed information about what is 83/16 in decimal and mixed number form, and the step-by-step solution using the most easiest method helps to easily understand how it is being calculated.

83/16 as a Decimal Expansion
83/16 = 5.1875
Hence,
83/16 as a decimal equals to 5.1875
where,
83/16 is a given fraction,
The decimal expansion of 83/16 is 5.1875

83/16 as a Mixed Number
83/16 = (80 + 3)/16
= 80/16 + 3/16
= 5 + 3/16
= 5 3/16
83/16 = 5 3/16

Hence,
83/16 as a mixed number is 5 ³/₁₆
where,
83/16 is a given fraction,
5 ³/₁₆ is the mixed number representation of 83/16.

The below step-by-step solution using the simplest method provides the detailed information about how to convert fraction 83/16 to its decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 83/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 83/16.

step 2 The numerator is greater than the denominator of the fraction 83/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 83/16
= 80 + 3/16
= (5 x 16) + 3/16

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

step 4 Simplify the above expression:
= 5 x 16/16 + 3/16
= 5 + 3/16
5 + 3/16 can be written as a mixed number 5 ³/₁₆.


step 5 Find the decimal equivalent for the fractional part 3/16 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/16. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 3/16.
= 5 + (3/16 x 100/100)

step 6 Simplify the above expression further:
= 5 + (300/16 x 1/100)
= 5 + (288 + 12/16 x 1/100)
= 5 + [(288/16 + 12/16 ) x 1/100]
= 5 + [(18 + 12/16) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 12/16 in the above expression:
= 5 + [(18 + 12/16) x 1/100]
= 5 + [(18 + 0.75) x 1/100]
= 5 + (18.75 x 1/100)
= 5 + 18.75/100
= 5 + 0.1875

step 8 Find the sum of above expression:
= 5 + 0.1875
= 5.1875
83/16 = 5.1875

Hence,
83/16 as a decimal is 5.1875
83/16 as a mixed number is 5 ³/₁₆