83/14 as a Decimal and Mixed Number
83/14 as a decimal and mixed number expansion provides the detailed information about what is 83/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
83/14 as a Decimal Expansion
83/14 = 5.9286
Hence,
83/14 as a decimal equals to 5.9286
where,
83/14 is a given fraction,
The decimal expansion of 83/14 is 5.9286
83/14 as a Mixed Number
83/14 = (70 + 13)/14
= 70/14 + 13/14
= 5 + 13/14
= 5 13/14
83/14 = 5 13/14
Hence,
83/14 as a mixed number is 5 13/14
where,
83/14 is a given fraction,
5 13/14 is the mixed number representation of 83/14.
How-to: 83/14 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 83/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 83/14
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 83/14.
step 2 The numerator is greater than the denominator of the fraction 83/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 83/14
= 70 + 13/14
= (5 x 14) + 13/14
step 3 Make the above expression as individual fractions:
= (5 x 14)/14 + 13/14
step 4 Simplify the above expression:
= 5 x 14/14 + 13/14
= 5 + 13/14
5 + 13/14 can be written as a mixed number 5 13/14.
step 5 Find the decimal equivalent for the fractional part 13/14 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/14. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/14.
= 5 + (13/14 x 10/10)
step 6 Simplify the above expression further:
= 5 + (130/14 x 1/10)
= 5 + (126 + 4/14 x 1/10)
= 5 + [(126/14 + 4/14 ) x 1/10]
= 5 + [(9 + 4/14) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/14 in the above expression:
= 5 + [(9 + 4/14) x 1/10]
= 5 + [(9 + 0.29) x 1/10]
= 5 + (9.29 x 1/10)
= 5 + 9.29/10
= 5 + 0.929
step 8 Find the sum of above expression:
= 5 + 0.929
= 5.929
83/14 = 5.929
Hence,
83/14 as a decimal is 5.929
83/14 as a mixed number is 5 13/14