330/189 as a Decimal and Mixed Number

330/189 as a decimal and mixed number expansion provides the detailed information about what is 330/189 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/189 as a Decimal
330/189 = 1.746
Hence,
330/189 as a decimal equals to 1.746
where,
330/189 is a given fraction,
The decimal expansion of 330/189 is 1.746

330/189 as a Mixed Number
330/189 = (189 + 141)/189
= 189/189 + 141/189
= 1 + 141/189
= 1 141/189
330/189 = 1 141/189

Hence,
330/189 as a mixed number is 1 ¹⁴¹/₁₈₉
where,
330/189 is a given fraction,
1 ¹⁴¹/₁₈₉ is the mixed number representation of 330/189.

The below work with steps provide the detailed information about how to convert fraction 330/189 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/189

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/189.

step 2 The numerator is greater than the denominator of the fraction 330/189, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/189
= 189 + 141/189

step 3 Make the above expression as individual fractions:
= 189/189 + 141/189

step 4 Simplify the above expression:
= 1 x 189/189 + 141/189
= 1 + 141/189
= 1 + 47 x 3/63 x 3
= 1 + 47/63
1 + 47/63 can be written as a mixed number 1 ⁴⁷/₆₃.


step 5 Find the decimal equivalent for the fractional part 47/63 in the above expression:
= 1 + 0.746
= 1.746
330/189 = 1.746

Hence,
330/189 as a decimal is 1.746
330/189 as a mixed number is 1 ⁴⁷/₆₃