89/15 as a Decimal and Mixed Number

89/15 as a decimal and mixed number expansion provides the detailed information about what is 89/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

89/15 as a Decimal Expansion
89/15 = 5.9333
Hence,
89/15 as a decimal equals to 5.9333
where,
89/15 is a given fraction,
The decimal expansion of 89/15 is 5.9333

89/15 as a Mixed Number
89/15 = (75 + 14)/15
= 75/15 + 14/15
= 5 + 14/15
= 5 14/15
89/15 = 5 14/15

Hence,
89/15 as a mixed number is 5 ¹⁴/₁₅
where,
89/15 is a given fraction,
5 ¹⁴/₁₅ is the mixed number representation of 89/15.

The below work with steps provide the detailed information about how to convert fraction 89/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 89/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 89/15.

step 2 The numerator is greater than the denominator of the fraction 89/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 89/15
= 75 + 14/15
= (5 x 15) + 14/15

step 3 Make the above expression as individual fractions:
= (5 x 15)/15 + 14/15

step 4 Simplify the above expression:
= 5 x 15/15 + 14/15
= 5 + 14/15
5 + 14/15 can be written as a mixed number 5 ¹⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 14/15 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 14/15. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 14/15.
= 5 + (14/15 x 10/10)

step 6 Simplify the above expression further:
= 5 + (140/15 x 1/10)
= 5 + (135 + 5/15 x 1/10)
= 5 + [(135/15 + 5/15 ) x 1/10]
= 5 + [(9 + 5/15) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/15 in the above expression:
= 5 + [(9 + 5/15) x 1/10]
= 5 + [(9 + 0.33) x 1/10]
= 5 + (9.33 x 1/10)
= 5 + 9.33/10
= 5 + 0.933

step 8 Find the sum of above expression:
= 5 + 0.933
= 5.933
89/15 = 5.933

Hence,
89/15 as a decimal is 5.933
89/15 as a mixed number is 5 ¹⁴/₁₅