93/13 as a Decimal and Mixed Number

93/13 as a decimal and mixed number expansion provides the detailed information about what is 93/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

93/13 as a Decimal Expansion
93/13 = 7.1538
Hence,
93/13 as a decimal equals to 7.1538
where,
93/13 is a given fraction,
The decimal expansion of 93/13 is 7.1538

93/13 as a Mixed Number
93/13 = (91 + 2)/13
= 91/13 + 2/13
= 7 + 2/13
= 7 2/13
93/13 = 7 2/13

Hence,
93/13 as a mixed number is 7 ²/₁₃
where,
93/13 is a given fraction,
7 ²/₁₃ is the mixed number representation of 93/13.

The below work with steps provide the detailed information about how to convert fraction 93/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 93/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 93/13.

step 2 The numerator is greater than the denominator of the fraction 93/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 93/13
= 91 + 2/13
= (7 x 13) + 2/13

step 3 Make the above expression as individual fractions:
= (7 x 13)/13 + 2/13

step 4 Simplify the above expression:
= 7 x 13/13 + 2/13
= 7 + 2/13
7 + 2/13 can be written as a mixed number 7 ²/₁₃.


step 5 Find the decimal equivalent for the fractional part 2/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 2/13.
= 7 + (2/13 x 100/100)

step 6 Simplify the above expression further:
= 7 + (200/13 x 1/100)
= 7 + (195 + 5/13 x 1/100)
= 7 + [(195/13 + 5/13 ) x 1/100]
= 7 + [(15 + 5/13) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/13 in the above expression:
= 7 + [(15 + 5/13) x 1/100]
= 7 + [(15 + 0.38) x 1/100]
= 7 + (15.38 x 1/100)
= 7 + 15.38/100
= 7 + 0.1538

step 8 Find the sum of above expression:
= 7 + 0.1538
= 7.1538
93/13 = 7.1538

Hence,
93/13 as a decimal is 7.1538
93/13 as a mixed number is 7 ²/₁₃