306/45 as a Decimal and Mixed Number

306/45 as a decimal and mixed number expansion provides the detailed information about what is 306/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

306/45 as a Decimal
306/45 = 6.8
Hence,
306/45 as a decimal equals to 6.8
where,
306/45 is a given fraction,
The decimal expansion of 306/45 is 6.8

306/45 as a Mixed Number
306/45 = (270 + 36)/45
= 270/45 + 36/45
= 6 + 36/45
= 6 36/45
306/45 = 6 36/45

Hence,
306/45 as a mixed number is 6 ³⁶/₄₅
where,
306/45 is a given fraction,
6 ³⁶/₄₅ is the mixed number representation of 306/45.

The below work with steps provide the detailed information about how to convert fraction 306/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/45.

step 2 The numerator is greater than the denominator of the fraction 306/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 306/45
= 270 + 36/45
= (6 x 45) + 36/45

step 3 Make the above expression as individual fractions:
= (6 x 45)/45 + 36/45

step 4 Simplify the above expression:
= 6 x 45/45 + 36/45
= 6 + 36/45
= 6 + 4 x 9/5 x 9
= 6 + 4/5
6 + 4/5 can be written as a mixed number 6 ⁴/₅.


step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 6 + (4/5 x 2/2)
= 6 + 8/10

step 6 Simplify the above expression further:
= 6 + 0.8
= 6.8
306/45 = 6.8

Hence,
306/45 as a decimal is 6.8
306/45 as a mixed number is 6 ⁴/₅