348/48 as a Decimal and Mixed Number

348/48 as a decimal and mixed number expansion provides the detailed information about what is 348/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

348/48 as a Decimal
348/48 = 7.25
Hence,
348/48 as a decimal equals to 7.25
where,
348/48 is a given fraction,
The decimal expansion of 348/48 is 7.25

348/48 as a Mixed Number
348/48 = (336 + 12)/48
= 336/48 + 12/48
= 7 + 12/48
= 7 12/48
348/48 = 7 12/48

Hence,
348/48 as a mixed number is 7 ¹²/₄₈
where,
348/48 is a given fraction,
7 ¹²/₄₈ is the mixed number representation of 348/48.

The below work with steps provide the detailed information about how to convert fraction 348/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 348/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 348/48.

step 2 The numerator is greater than the denominator of the fraction 348/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 348/48
= 336 + 12/48
= (7 x 48) + 12/48

step 3 Make the above expression as individual fractions:
= (7 x 48)/48 + 12/48

step 4 Simplify the above expression:
= 7 x 48/48 + 12/48
= 7 + 12/48
= 7 + 1 x 12/4 x 12
= 7 + 1/4
7 + 1/4 can be written as a mixed number 7 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:
= 7 + (1/4 x 25/25)
= 7 + 25/100

step 6 Simplify the above expression further:
= 7 + 0.25
= 7.25
348/48 = 7.25

Hence,
348/48 as a decimal is 7.25
348/48 as a mixed number is 7 ¹/₄