189/42 as a Decimal and Mixed Number

189/42 as a decimal and mixed number expansion provides the detailed information about what is 189/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/42 as a Decimal
189/42 = 4.5
Hence,
189/42 as a decimal equals to 4.5
where,
189/42 is a given fraction,
The decimal expansion of 189/42 is 4.5

189/42 as a Mixed Number
189/42 = (168 + 21)/42
= 168/42 + 21/42
= 4 + 21/42
= 4 21/42
189/42 = 4 21/42

Hence,
189/42 as a mixed number is 4 ²¹/₄₂
where,
189/42 is a given fraction,
4 ²¹/₄₂ is the mixed number representation of 189/42.

The below work with steps provide the detailed information about how to convert fraction 189/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/42.

step 2 The numerator is greater than the denominator of the fraction 189/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/42
= 168 + 21/42
= (4 x 42) + 21/42

step 3 Make the above expression as individual fractions:
= (4 x 42)/42 + 21/42

step 4 Simplify the above expression:
= 4 x 42/42 + 21/42
= 4 + 21/42
= 4 + 1 x 21/2 x 21
= 4 + 1/2
4 + 1/2 can be written as a mixed number 4 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 4 + (1/2 x 5/5)
= 4 + 5/10

step 6 Simplify the above expression further:
= 4 + 0.5
= 4.5
189/42 = 4.5

Hence,
189/42 as a decimal is 4.5
189/42 as a mixed number is 4 ¹/₂