188/24 as a decimal and mixed number expansion provides the detailed information about what is 188/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
188/24 as a Decimal
188/24 = 7.8333
Hence,
188/24 as a decimal equals to 7.8333
where,
188/24 is a given fraction,
The decimal expansion of 188/24 is 7.8333
188/24 as a Mixed Number
188/24 = (168 + 20)/24
= 168/24 + 20/24
= 7 + 20/24
= 7 20/24
188/24 = 7 20/24
Hence,
188/24 as a mixed number is 7 20/24
where,
188/24 is a given fraction,
7 20/24 is the mixed number representation of 188/24.
The below work with steps provide the detailed information about how to convert fraction 188/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 188/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 188/24.
step 2 The numerator is greater than the denominator of the fraction 188/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 188/24
= 168 + 20/24
= (7 x 24) + 20/24
step 3 Make the above expression as individual fractions:
= (7 x 24)/24 + 20/24
step 4 Simplify the above expression:
= 7 x 24/24 + 20/24
= 7 + 20/24
= 7 + 5 x 4/6 x 4
= 7 + 5/6
7 + 5/6 can be written as a mixed number 7 5/6.
step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 7 + 0.8333
= 7.8333
188/24 = 7.8333
Hence,
188/24 as a decimal is 7.8333
188/24 as a mixed number is 7 5/6