352/48 as a Decimal and Mixed Number

352/48 as a decimal and mixed number expansion provides the detailed information about what is 352/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

352/48 as a Decimal
352/48 = 7.3333
Hence,
352/48 as a decimal equals to 7.3333
where,
352/48 is a given fraction,
The decimal expansion of 352/48 is 7.3333

352/48 as a Mixed Number
352/48 = (336 + 16)/48
= 336/48 + 16/48
= 7 + 16/48
= 7 16/48
352/48 = 7 16/48

Hence,
352/48 as a mixed number is 7 ¹⁶/₄₈
where,
352/48 is a given fraction,
7 ¹⁶/₄₈ is the mixed number representation of 352/48.

The below work with steps provide the detailed information about how to convert fraction 352/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 352/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 352/48.

step 2 The numerator is greater than the denominator of the fraction 352/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 352/48
= 336 + 16/48
= (7 x 48) + 16/48

step 3 Make the above expression as individual fractions:
= (7 x 48)/48 + 16/48

step 4 Simplify the above expression:
= 7 x 48/48 + 16/48
= 7 + 16/48
= 7 + 1 x 16/3 x 16
= 7 + 1/3
7 + 1/3 can be written as a mixed number 7 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 7 + 0.3333
= 7.3333
352/48 = 7.3333

Hence,
352/48 as a decimal is 7.3333
352/48 as a mixed number is 7 ¹/₃