300/48 as a Decimal and Mixed Number

300/48 as a decimal and mixed number expansion provides the detailed information about what is 300/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/48 as a Decimal
300/48 = 6.25
Hence,
300/48 as a decimal equals to 6.25
where,
300/48 is a given fraction,
The decimal expansion of 300/48 is 6.25

300/48 as a Mixed Number
300/48 = (288 + 12)/48
= 288/48 + 12/48
= 6 + 12/48
= 6 12/48
300/48 = 6 12/48

Hence,
300/48 as a mixed number is 6 ¹²/₄₈
where,
300/48 is a given fraction,
6 ¹²/₄₈ is the mixed number representation of 300/48.

The below work with steps provide the detailed information about how to convert fraction 300/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/48.

step 2 The numerator is greater than the denominator of the fraction 300/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/48
= 288 + 12/48
= (6 x 48) + 12/48

step 3 Make the above expression as individual fractions:
= (6 x 48)/48 + 12/48

step 4 Simplify the above expression:
= 6 x 48/48 + 12/48
= 6 + 12/48
= 6 + 1 x 12/4 x 12
= 6 + 1/4
6 + 1/4 can be written as a mixed number 6 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 6 + (1/4 x 25/25)
= 6 + 25/100

step 6 Simplify the above expression further:
= 6 + 0.25
= 6.25
300/48 = 6.25

Hence,
300/48 as a decimal is 6.25
300/48 as a mixed number is 6 ¹/₄