306/48 as a Decimal and Mixed Number

306/48 as a decimal and mixed number expansion provides the detailed information about what is 306/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

306/48 as a Decimal
306/48 = 6.375
Hence,
306/48 as a decimal equals to 6.375
where,
306/48 is a given fraction,
The decimal expansion of 306/48 is 6.375

306/48 as a Mixed Number
306/48 = (288 + 18)/48
= 288/48 + 18/48
= 6 + 18/48
= 6 18/48
306/48 = 6 18/48

Hence,
306/48 as a mixed number is 6 ¹⁸/₄₈
where,
306/48 is a given fraction,
6 ¹⁸/₄₈ is the mixed number representation of 306/48.

The below work with steps provide the detailed information about how to convert fraction 306/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/48.

step 2 The numerator is greater than the denominator of the fraction 306/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 306/48
= 288 + 18/48
= (6 x 48) + 18/48

step 3 Make the above expression as individual fractions:
= (6 x 48)/48 + 18/48

step 4 Simplify the above expression:
= 6 x 48/48 + 18/48
= 6 + 18/48
= 6 + 3 x 6/8 x 6
= 6 + 3/8
6 + 3/8 can be written as a mixed number 6 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 6 + (3/8 x 125/125)
= 6 + 375/1000

step 6 Simplify the above expression further:
= 6 + 0.375
= 6.375
306/48 = 6.375

Hence,
306/48 as a decimal is 6.375
306/48 as a mixed number is 6 ³/₈