71/17 as a Decimal and Mixed Number

71/17 as a decimal and mixed number expansion provides the detailed information about what is 71/17 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

71/17 as a Decimal
71/17 = 4.1765
Hence,
71/17 as a decimal equals to 4.1765
where,
71/17 is a given fraction,
The decimal expansion of 71/17 is 4.1765

71/17 as a Mixed Number
71/17 = (68 + 3)/17
= 68/17 + 3/17
= 4 + 3/17
= 4 3/17
71/17 = 4 3/17

Hence,
71/17 as a mixed number is 4 ³/₁₇
where,
71/17 is a given fraction,
4 ³/₁₇ is the mixed number representation of 71/17.

The below work with steps provide the detailed information about how to convert fraction 71/17 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/17

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/17.

step 2 The numerator is greater than the denominator of the fraction 71/17, so write the given fraction in the expression form in terms of denominator as like the below:
= 71/17
= 68 + 3/17
= (4 x 17) + 3/17

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

step 4 Simplify the above expression:
= 4 x 17/17 + 3/17
= 4 + 3/17
4 + 3/17 can be written as a mixed number 4 ³/₁₇.


step 5 Find the decimal equivalent for the fractional part 3/17 in the above expression:
= 4 + 0.1765
= 4.1765
71/17 = 4.1765

Hence,
71/17 as a decimal is 4.1765
71/17 as a mixed number is 4 ³/₁₇