90/13 as a Decimal and Mixed Number
90/13 as a decimal and mixed number expansion provides the detailed information about what is 90/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
90/13 as a Decimal Expansion
90/13 = 6.9231
Hence,
90/13 as a decimal equals to 6.9231
where,
90/13 is a given fraction,
The decimal expansion of 90/13 is 6.9231
90/13 as a Mixed Number
90/13 = (78 + 12)/13
= 78/13 + 12/13
= 6 + 12/13
= 6 12/13
90/13 = 6 12/13
Hence,
90/13 as a mixed number is 6 12/13
where,
90/13 is a given fraction,
6 12/13 is the mixed number representation of 90/13.
How-to: 90/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 90/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 90/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 90/13.
step 2 The numerator is greater than the denominator of the fraction 90/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 90/13
= 78 + 12/13
= (6 x 13) + 12/13
step 3 Make the above expression as individual fractions:
= (6 x 13)/13 + 12/13
step 4 Simplify the above expression:
= 6 x 13/13 + 12/13
= 6 + 12/13
6 + 12/13 can be written as a mixed number 6 12/13.
step 5 Find the decimal equivalent for the fractional part 12/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 12/13. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 12/13.
= 6 + (12/13 x 10/10)
step 6 Simplify the above expression further:
= 6 + (120/13 x 1/10)
= 6 + (117 + 3/13 x 1/10)
= 6 + [(117/13 + 3/13 ) x 1/10]
= 6 + [(9 + 3/13) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 3/13 in the above expression:
= 6 + [(9 + 3/13) x 1/10]
= 6 + [(9 + 0.23) x 1/10]
= 6 + (9.23 x 1/10)
= 6 + 9.23/10
= 6 + 0.923
step 8 Find the sum of above expression:
= 6 + 0.923
= 6.923
90/13 = 6.923
Hence,
90/13 as a decimal is 6.923
90/13 as a mixed number is 6 12/13