164/24 as a decimal and mixed number expansion provides the detailed information about what is 164/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
164/24 as a Decimal
164/24 = 6.8333
Hence,
164/24 as a decimal equals to 6.8333
where,
164/24 is a given fraction,
The decimal expansion of 164/24 is 6.8333
164/24 as a Mixed Number
164/24 = (144 + 20)/24
= 144/24 + 20/24
= 6 + 20/24
= 6 20/24
164/24 = 6 20/24
Hence,
164/24 as a mixed number is 6 20/24
where,
164/24 is a given fraction,
6 20/24 is the mixed number representation of 164/24.
The below work with steps provide the detailed information about how to convert fraction 164/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/24.
step 2 The numerator is greater than the denominator of the fraction 164/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/24
= 144 + 20/24
= (6 x 24) + 20/24
step 3 Make the above expression as individual fractions:
= (6 x 24)/24 + 20/24
step 4 Simplify the above expression:
= 6 x 24/24 + 20/24
= 6 + 20/24
= 6 + 5 x 4/6 x 4
= 6 + 5/6
6 + 5/6 can be written as a mixed number 6 5/6.
step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 6 + 0.8333
= 6.8333
164/24 = 6.8333
Hence,
164/24 as a decimal is 6.8333
164/24 as a mixed number is 6 5/6