338/48 as a Decimal and Mixed Number

338/48 as a decimal and mixed number expansion provides the detailed information about what is 338/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/48 as a Decimal
338/48 = 7.0417
Hence,
338/48 as a decimal equals to 7.0417
where,
338/48 is a given fraction,
The decimal expansion of 338/48 is 7.0417

338/48 as a Mixed Number
338/48 = (336 + 2)/48
= 336/48 + 2/48
= 7 + 2/48
= 7 2/48
338/48 = 7 2/48

Hence,
338/48 as a mixed number is 7 ²/₄₈
where,
338/48 is a given fraction,
7 ²/₄₈ is the mixed number representation of 338/48.

The below work with steps provide the detailed information about how to convert fraction 338/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/48.

step 2 The numerator is greater than the denominator of the fraction 338/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/48
= 336 + 2/48
= (7 x 48) + 2/48

step 3 Make the above expression as individual fractions:
= (7 x 48)/48 + 2/48

step 4 Simplify the above expression:
= 7 x 48/48 + 2/48
= 7 + 2/48
= 7 + 1 x 2/24 x 2
= 7 + 1/24
7 + 1/24 can be written as a mixed number 7 ¹/₂₄.


step 5 Find the decimal equivalent for the fractional part 1/24 in the above expression:
= 7 + 0.0417
= 7.0417
338/48 = 7.0417

Hence,
338/48 as a decimal is 7.0417
338/48 as a mixed number is 7 ¹/₂₄