69/4 as a Decimal and Mixed Number

69/4 as a decimal and mixed number expansion provides the detailed information about what is 69/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

69/4 as a Decimal
69/4 = 17.25
Hence,
69/4 as a decimal equals to 17.25
where,
69/4 is a given fraction,
The decimal expansion of 69/4 is 17.25

69/4 as a Mixed Number
69/4 = (68 + 1)/4
= 68/4 + 1/4
= 17 + 1/4
= 17 1/4
69/4 = 17 1/4

Hence,
69/4 as a mixed number is 17 ¹/₄
where,
69/4 is a given fraction,
17 ¹/₄ is the mixed number representation of 69/4.

The below work with steps provide the detailed information about how to convert fraction 69/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 69/4

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 69/4.

step 2 The numerator is greater than the denominator of the fraction 69/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 69/4
= 68 + 1/4
= (17 x 4) + 1/4

step 3 Make the above expression as individual fractions:
= (17 x 4)/4 + 1/4

step 4 Simplify the above expression:
= 17 x 4/4 + 1/4
= 17 + 1/4
17 + 1/4 can be written as a mixed number 17 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 17 + (1/4 x 25/25)
= 17 + 25/100

step 6 Simplify the above expression further:
= 17 + 0.25
= 17.25
69/4 = 17.25

Hence,
69/4 as a decimal is 17.25
69/4 as a mixed number is 17 ¹/₄