39/14 as a Decimal and Mixed Number
39/14 as a decimal and mixed number expansion provides the detailed information about what is 39/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
39/14 as a Decimal Expansion
39/14 = 2.7857
Hence,
39/14 as a decimal equals to 2.7857
where,
39/14 is a given fraction,
The decimal expansion of 39/14 is 2.7857
39/14 as a Mixed Number
39/14 = (28 + 11)/14
= 28/14 + 11/14
= 2 + 11/14
= 2 11/14
39/14 = 2 11/14
Hence,
39/14 as a mixed number is 2 11/14
where,
39/14 is a given fraction,
2 11/14 is the mixed number representation of 39/14.
How-to: 39/14 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 39/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 39/14
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 39/14.
step 2 The numerator is greater than the denominator of the fraction 39/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 39/14
= 28 + 11/14
= (2 x 14) + 11/14
step 3 Make the above expression as individual fractions:
= (2 x 14)/14 + 11/14
step 4 Simplify the above expression:
= 2 x 14/14 + 11/14
= 2 + 11/14
2 + 11/14 can be written as a mixed number 2 11/14.
step 5 Find the decimal equivalent for the fractional part 11/14 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 11/14. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 11/14.
= 2 + (11/14 x 10/10)
step 6 Simplify the above expression further:
= 2 + (110/14 x 1/10)
= 2 + (98 + 12/14 x 1/10)
= 2 + [(98/14 + 12/14 ) x 1/10]
= 2 + [(7 + 12/14) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 12/14 in the above expression:
= 2 + [(7 + 12/14) x 1/10]
= 2 + [(7 + 0.86) x 1/10]
= 2 + (7.86 x 1/10)
= 2 + 7.86/10
= 2 + 0.786
step 8 Find the sum of above expression:
= 2 + 0.786
= 2.786
39/14 = 2.786
Hence,
39/14 as a decimal is 2.786
39/14 as a mixed number is 2 11/14