349/48 as a Decimal and Mixed Number

349/48 as a decimal and mixed number expansion provides the detailed information about what is 349/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

349/48 as a Decimal
349/48 = 7.2708
Hence,
349/48 as a decimal equals to 7.2708
where,
349/48 is a given fraction,
The decimal expansion of 349/48 is 7.2708

349/48 as a Mixed Number
349/48 = (336 + 13)/48
= 336/48 + 13/48
= 7 + 13/48
= 7 13/48
349/48 = 7 13/48

Hence,
349/48 as a mixed number is 7 ¹³/₄₈
where,
349/48 is a given fraction,
7 ¹³/₄₈ is the mixed number representation of 349/48.

The below work with steps provide the detailed information about how to convert fraction 349/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 349/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 349/48.

step 2 The numerator is greater than the denominator of the fraction 349/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 349/48
= 336 + 13/48
= (7 x 48) + 13/48

step 3 Make the above expression as individual fractions:
= (7 x 48)/48 + 13/48

step 4 Simplify the above expression:
= 7 x 48/48 + 13/48
= 7 + 13/48
7 + 13/48 can be written as a mixed number 7 ¹³/₄₈.


step 5 Find the decimal equivalent for the fractional part 13/48 in the above expression:
= 7 + 0.2708
= 7.2708
349/48 = 7.2708

Hence,
349/48 as a decimal is 7.2708
349/48 as a mixed number is 7 ¹³/₄₈