344/48 as a Decimal and Mixed Number

344/48 as a decimal and mixed number expansion provides the detailed information about what is 344/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

344/48 as a Decimal
344/48 = 7.1667
Hence,
344/48 as a decimal equals to 7.1667
where,
344/48 is a given fraction,
The decimal expansion of 344/48 is 7.1667

344/48 as a Mixed Number
344/48 = (336 + 8)/48
= 336/48 + 8/48
= 7 + 8/48
= 7 8/48
344/48 = 7 8/48

Hence,
344/48 as a mixed number is 7 ⁸/₄₈
where,
344/48 is a given fraction,
7 ⁸/₄₈ is the mixed number representation of 344/48.

The below work with steps provide the detailed information about how to convert fraction 344/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 344/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 344/48.

step 2 The numerator is greater than the denominator of the fraction 344/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 344/48
= 336 + 8/48
= (7 x 48) + 8/48

step 3 Make the above expression as individual fractions:
= (7 x 48)/48 + 8/48

step 4 Simplify the above expression:
= 7 x 48/48 + 8/48
= 7 + 8/48
= 7 + 1 x 8/6 x 8
= 7 + 1/6
7 + 1/6 can be written as a mixed number 7 ¹/₆.


step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
= 7 + 0.1667
= 7.1667
344/48 = 7.1667

Hence,
344/48 as a decimal is 7.1667
344/48 as a mixed number is 7 ¹/₆