305/48 as a Decimal and Mixed Number

305/48 as a decimal and mixed number expansion provides the detailed information about what is 305/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

305/48 as a Decimal
305/48 = 6.3542
Hence,
305/48 as a decimal equals to 6.3542
where,
305/48 is a given fraction,
The decimal expansion of 305/48 is 6.3542

305/48 as a Mixed Number
305/48 = (288 + 17)/48
= 288/48 + 17/48
= 6 + 17/48
= 6 17/48
305/48 = 6 17/48

Hence,
305/48 as a mixed number is 6 ¹⁷/₄₈
where,
305/48 is a given fraction,
6 ¹⁷/₄₈ is the mixed number representation of 305/48.

The below work with steps provide the detailed information about how to convert fraction 305/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 305/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 305/48.

step 2 The numerator is greater than the denominator of the fraction 305/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 305/48
= 288 + 17/48
= (6 x 48) + 17/48

step 3 Make the above expression as individual fractions:
= (6 x 48)/48 + 17/48

step 4 Simplify the above expression:
= 6 x 48/48 + 17/48
= 6 + 17/48
6 + 17/48 can be written as a mixed number 6 ¹⁷/₄₈.


step 5 Find the decimal equivalent for the fractional part 17/48 in the above expression:
= 6 + 0.3542
= 6.3542
305/48 = 6.3542

Hence,
305/48 as a decimal is 6.3542
305/48 as a mixed number is 6 ¹⁷/₄₈