330/275 as a Decimal and Mixed Number

330/275 as a decimal and mixed number expansion provides the detailed information about what is 330/275 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/275 as a Decimal
330/275 = 1.2
Hence,
330/275 as a decimal equals to 1.2
where,
330/275 is a given fraction,
The decimal expansion of 330/275 is 1.2

330/275 as a Mixed Number
330/275 = (275 + 55)/275
= 275/275 + 55/275
= 1 + 55/275
= 1 55/275
330/275 = 1 55/275

Hence,
330/275 as a mixed number is 1 ⁵⁵/₂₇₅
where,
330/275 is a given fraction,
1 ⁵⁵/₂₇₅ is the mixed number representation of 330/275.

The below work with steps provide the detailed information about how to convert fraction 330/275 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/275

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/275.

step 2 The numerator is greater than the denominator of the fraction 330/275, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/275
= 275 + 55/275

step 3 Make the above expression as individual fractions:
= 275/275 + 55/275

step 4 Simplify the above expression:
= 1 x 275/275 + 55/275
= 1 + 55/275
= 1 + 1 x 55/5 x 55
= 1 + 1/5
1 + 1/5 can be written as a mixed number 1 ¹/₅.


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

step 6 Simplify the above expression further:
= 1 + 0.2
= 1.2
330/275 = 1.2

Hence,
330/275 as a decimal is 1.2
330/275 as a mixed number is 1 ¹/₅