170/30 as a decimal and mixed number expansion provides the detailed information about what is 170/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
170/30 as a Decimal
170/30 = 5.6667
Hence,
170/30 as a decimal equals to 5.6667
where,
170/30 is a given fraction,
The decimal expansion of 170/30 is 5.6667
170/30 as a Mixed Number
170/30 = (150 + 20)/30
= 150/30 + 20/30
= 5 + 20/30
= 5 20/30
170/30 = 5 20/30
Hence,
170/30 as a mixed number is 5 20/30
where,
170/30 is a given fraction,
5 20/30 is the mixed number representation of 170/30.
The below work with steps provide the detailed information about how to convert fraction 170/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 170/30
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 170/30.
step 2 The numerator is greater than the denominator of the fraction 170/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 170/30
= 150 + 20/30
= (5 x 30) + 20/30
step 3 Make the above expression as individual fractions:
= (5 x 30)/30 + 20/30
step 4 Simplify the above expression:
= 5 x 30/30 + 20/30
= 5 + 20/30
= 5 + 2 x 10/3 x 10
= 5 + 2/3
5 + 2/3 can be written as a mixed number 5 2/3.
step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 5 + 0.6667
= 5.6667
170/30 = 5.6667
Hence,
170/30 as a decimal is 5.6667
170/30 as a mixed number is 5 2/3