98/13 as a Decimal and Mixed Number

98/13 as a decimal and mixed number expansion provides the detailed information about what is 98/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

98/13 as a Decimal Expansion
98/13 = 7.5385
Hence,
98/13 as a decimal equals to 7.5385
where,
98/13 is a given fraction,
The decimal expansion of 98/13 is 7.5385

98/13 as a Mixed Number
98/13 = (91 + 7)/13
= 91/13 + 7/13
= 7 + 7/13
= 7 7/13
98/13 = 7 7/13

Hence,
98/13 as a mixed number is 7 ⁷/₁₃
where,
98/13 is a given fraction,
7 ⁷/₁₃ is the mixed number representation of 98/13.

The below work with steps provide the detailed information about how to convert fraction 98/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 98/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 98/13.

step 2 The numerator is greater than the denominator of the fraction 98/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 98/13
= 91 + 7/13
= (7 x 13) + 7/13

step 3 Make the above expression as individual fractions:
= (7 x 13)/13 + 7/13

step 4 Simplify the above expression:
= 7 x 13/13 + 7/13
= 7 + 7/13
7 + 7/13 can be written as a mixed number 7 ⁷/₁₃.


step 5 Find the decimal equivalent for the fractional part 7/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/13.
= 7 + (7/13 x 100/100)

step 6 Simplify the above expression further:
= 7 + (700/13 x 1/100)
= 7 + (689 + 11/13 x 1/100)
= 7 + [(689/13 + 11/13 ) x 1/100]
= 7 + [(53 + 11/13) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 11/13 in the above expression:
= 7 + [(53 + 11/13) x 1/100]
= 7 + [(53 + 0.85) x 1/100]
= 7 + (53.85 x 1/100)
= 7 + 53.85/100
= 7 + 0.5385

step 8 Find the sum of above expression:
= 7 + 0.5385
= 7.5385
98/13 = 7.5385

Hence,
98/13 as a decimal is 7.5385
98/13 as a mixed number is 7 ⁷/₁₃