189/24 as a Decimal and Mixed Number

189/24 as a decimal and mixed number expansion provides the detailed information about what is 189/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/24 as a Decimal
189/24 = 7.875
Hence,
189/24 as a decimal equals to 7.875
where,
189/24 is a given fraction,
The decimal expansion of 189/24 is 7.875

189/24 as a Mixed Number
189/24 = (168 + 21)/24
= 168/24 + 21/24
= 7 + 21/24
= 7 21/24
189/24 = 7 21/24

Hence,
189/24 as a mixed number is 7 ²¹/₂₄
where,
189/24 is a given fraction,
7 ²¹/₂₄ is the mixed number representation of 189/24.

The below work with steps provide the detailed information about how to convert fraction 189/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/24.

step 2 The numerator is greater than the denominator of the fraction 189/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/24
= 168 + 21/24
= (7 x 24) + 21/24

step 3 Make the above expression as individual fractions:
= (7 x 24)/24 + 21/24

step 4 Simplify the above expression:
= 7 x 24/24 + 21/24
= 7 + 21/24
= 7 + 7 x 3/8 x 3
= 7 + 7/8
7 + 7/8 can be written as a mixed number 7 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 7 + (7/8 x 125/125)
= 7 + 875/1000

step 6 Simplify the above expression further:
= 7 + 0.875
= 7.875
189/24 = 7.875

Hence,
189/24 as a decimal is 7.875
189/24 as a mixed number is 7 ⁷/₈