189/28 as a Decimal and Mixed Number

189/28 as a decimal and mixed number expansion provides the detailed information about what is 189/28 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/28 as a Decimal
189/28 = 6.75
Hence,
189/28 as a decimal equals to 6.75
where,
189/28 is a given fraction,
The decimal expansion of 189/28 is 6.75

189/28 as a Mixed Number
189/28 = (168 + 21)/28
= 168/28 + 21/28
= 6 + 21/28
= 6 21/28
189/28 = 6 21/28

Hence,
189/28 as a mixed number is 6 ²¹/₂₈
where,
189/28 is a given fraction,
6 ²¹/₂₈ is the mixed number representation of 189/28.

The below work with steps provide the detailed information about how to convert fraction 189/28 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/28

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/28.

step 2 The numerator is greater than the denominator of the fraction 189/28, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/28
= 168 + 21/28
= (6 x 28) + 21/28

step 3 Make the above expression as individual fractions:
= (6 x 28)/28 + 21/28

step 4 Simplify the above expression:
= 6 x 28/28 + 21/28
= 6 + 21/28
= 6 + 3 x 7/4 x 7
= 6 + 3/4
6 + 3/4 can be written as a mixed number 6 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 6 + (3/4 x 25/25)
= 6 + 75/100

step 6 Simplify the above expression further:
= 6 + 0.75
= 6.75
189/28 = 6.75

Hence,
189/28 as a decimal is 6.75
189/28 as a mixed number is 6 ³/₄