327/189 as a Decimal and Mixed Number

327/189 as a decimal and mixed number expansion provides the detailed information about what is 327/189 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

327/189 as a Decimal
327/189 = 1.7302
Hence,
327/189 as a decimal equals to 1.7302
where,
327/189 is a given fraction,
The decimal expansion of 327/189 is 1.7302

327/189 as a Mixed Number
327/189 = (189 + 138)/189
= 189/189 + 138/189
= 1 + 138/189
= 1 138/189
327/189 = 1 138/189

Hence,
327/189 as a mixed number is 1 ¹³⁸/₁₈₉
where,
327/189 is a given fraction,
1 ¹³⁸/₁₈₉ is the mixed number representation of 327/189.

The below work with steps provide the detailed information about how to convert fraction 327/189 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/189

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/189.

step 2 The numerator is greater than the denominator of the fraction 327/189, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/189
= 189 + 138/189

step 3 Make the above expression as individual fractions:
= 189/189 + 138/189

step 4 Simplify the above expression:
= 1 x 189/189 + 138/189
= 1 + 138/189
= 1 + 46 x 3/63 x 3
= 1 + 46/63
1 + 46/63 can be written as a mixed number 1 ⁴⁶/₆₃.


step 5 Find the decimal equivalent for the fractional part 46/63 in the above expression:
= 1 + 0.7302
= 1.7302
327/189 = 1.7302

Hence,
327/189 as a decimal is 1.7302
327/189 as a mixed number is 1 ⁴⁶/₆₃