117/17 as a Decimal and Mixed Number

117/17 as a decimal and mixed number expansion provides the detailed information about what is 117/17 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

117/17 as a Decimal
117/17 = 6.8824
Hence,
117/17 as a decimal equals to 6.8824
where,
117/17 is a given fraction,
The decimal expansion of 117/17 is 6.8824

117/17 as a Mixed Number
117/17 = (102 + 15)/17
= 102/17 + 15/17
= 6 + 15/17
= 6 15/17
117/17 = 6 15/17

Hence,
117/17 as a mixed number is 6 ¹⁵/₁₇
where,
117/17 is a given fraction,
6 ¹⁵/₁₇ is the mixed number representation of 117/17.

The below work with steps provide the detailed information about how to convert fraction 117/17 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 117/17

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 117/17.

step 2 The numerator is greater than the denominator of the fraction 117/17, so write the given fraction in the expression form in terms of denominator as like the below:
= 117/17
= 102 + 15/17
= (6 x 17) + 15/17

step 3 Make the above expression as individual fractions:
= (6 x 17)/17 + 15/17

step 4 Simplify the above expression:
= 6 x 17/17 + 15/17
= 6 + 15/17
6 + 15/17 can be written as a mixed number 6 ¹⁵/₁₇.


step 5 Find the decimal equivalent for the fractional part 15/17 in the above expression:
= 6 + 0.8824
= 6.8824
117/17 = 6.8824

Hence,
117/17 as a decimal is 6.8824
117/17 as a mixed number is 6 ¹⁵/₁₇