95/6 as a Decimal and Mixed Number

95/6 as a decimal and mixed number expansion provides the detailed information about what is 95/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

95/6 as a Decimal Expansion
95/6 = 15.8333
Hence,
95/6 as a decimal equals to 15.8333
where,
95/6 is a given fraction,
The decimal expansion of 95/6 is 15.8333

95/6 as a Mixed Number
95/6 = (90 + 5)/6
= 90/6 + 5/6
= 15 + 5/6
= 15 5/6
95/6 = 15 5/6

Hence,
95/6 as a mixed number is 15 ⁵/₆
where,
95/6 is a given fraction,
15 ⁵/₆ is the mixed number representation of 95/6.

The below work with steps provide the detailed information about how to convert fraction 95/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 95/6

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 95/6.

step 2 The numerator is greater than the denominator of the fraction 95/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 95/6
= 90 + 5/6
= (15 x 6) + 5/6

step 3 Make the above expression as individual fractions:
= (15 x 6)/6 + 5/6

step 4 Simplify the above expression:
= 15 x 6/6 + 5/6
= 15 + 5/6
15 + 5/6 can be written as a mixed number 15 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/6. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 5/6.
= 15 + (5/6 x 10/10)

step 6 Simplify the above expression further:
= 15 + (50/6 x 1/10)
= 15 + (48 + 2/6 x 1/10)
= 15 + [(48/6 + 2/6 ) x 1/10]
= 15 + [(8 + 2/6) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/6 in the above expression:
= 15 + [(8 + 2/6) x 1/10]
= 15 + [(8 + 0.33) x 1/10]
= 15 + (8.33 x 1/10)
= 15 + 8.33/10
= 15 + 0.833

step 8 Find the sum of above expression:
= 15 + 0.833
= 15.833
95/6 = 15.833

Hence,
95/6 as a decimal is 15.833
95/6 as a mixed number is 15 ⁵/₆