69/17 as a decimal and mixed number expansion provides the detailed information about what is 69/17 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
69/17 as a Decimal Expansion
69/17 = 4.0588
Hence,
69/17 as a decimal equals to 4.0588
where,
69/17 is a given fraction,
The decimal expansion of 69/17 is 4.0588
69/17 as a Mixed Number
69/17 = (68 + 1)/17
= 68/17 + 1/17
= 4 + 1/17
= 4 1/17
69/17 = 4 1/17
Hence,
69/17 as a mixed number is 4 1/17
where,
69/17 is a given fraction,
4 1/17 is the mixed number representation of 69/17.
The below work with steps provide the detailed information about how to convert fraction 69/17 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 69/17
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 69/17.
step 2 The numerator is greater than the denominator of the fraction 69/17, so write the given fraction in the expression form in terms of denominator as like the below:
= 69/17
= 68 + 1/17
= (4 x 17) + 1/17
step 3 Make the above expression as individual fractions:
= (4 x 17)/17 + 1/17
step 4 Simplify the above expression:
= 4 x 17/17 + 1/17
= 4 + 1/17
4 + 1/17 can be written as a mixed number 4 1/17.
step 5 Find the decimal equivalent for the fractional part 1/17 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/17. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/17.
= 4 + (1/17 x 100/100)
step 6 Simplify the above expression further:
= 4 + (100/17 x 1/100)
= 4 + (85 + 15/17 x 1/100)
= 4 + [(85/17 + 15/17 ) x 1/100]
= 4 + [(5 + 15/17) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 15/17 in the above expression:
= 4 + [(5 + 15/17) x 1/100]
= 4 + [(5 + 0.88) x 1/100]
= 4 + (5.88 x 1/100)
= 4 + 5.88/100
= 4 + 0.0588
step 8 Find the sum of above expression:
= 4 + 0.0588
= 4.0588
69/17 = 4.0588
Hence,
69/17 as a decimal is 4.0588
69/17 as a mixed number is 4 1/17