71/14 as a Decimal and Mixed Number

71/14 as a decimal and mixed number expansion provides the detailed information about what is 71/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

71/14 as a Decimal
71/14 = 5.0714
Hence,
71/14 as a decimal equals to 5.0714
where,
71/14 is a given fraction,
The decimal expansion of 71/14 is 5.0714

71/14 as a Mixed Number
71/14 = (70 + 1)/14
= 70/14 + 1/14
= 5 + 1/14
= 5 1/14
71/14 = 5 1/14

Hence,
71/14 as a mixed number is 5 ¹/₁₄
where,
71/14 is a given fraction,
5 ¹/₁₄ is the mixed number representation of 71/14.

The below work with steps provide the detailed information about how to convert fraction 71/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/14

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/14.

step 2 The numerator is greater than the denominator of the fraction 71/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 71/14
= 70 + 1/14
= (5 x 14) + 1/14

step 3 Make the above expression as individual fractions:
= (5 x 14)/14 + 1/14

step 4 Simplify the above expression:
= 5 x 14/14 + 1/14
= 5 + 1/14
5 + 1/14 can be written as a mixed number 5 ¹/₁₄.


step 5 Find the decimal equivalent for the fractional part 1/14 in the above expression:
= 5 + 0.0714
= 5.0714
71/14 = 5.0714

Hence,
71/14 as a decimal is 5.0714
71/14 as a mixed number is 5 ¹/₁₄