352/42 as a Decimal and Mixed Number

352/42 as a decimal and mixed number expansion provides the detailed information about what is 352/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

352/42 as a Decimal
352/42 = 8.381
Hence,
352/42 as a decimal equals to 8.381
where,
352/42 is a given fraction,
The decimal expansion of 352/42 is 8.381

352/42 as a Mixed Number
352/42 = (336 + 16)/42
= 336/42 + 16/42
= 8 + 16/42
= 8 16/42
352/42 = 8 16/42

Hence,
352/42 as a mixed number is 8 ¹⁶/₄₂
where,
352/42 is a given fraction,
8 ¹⁶/₄₂ is the mixed number representation of 352/42.

The below work with steps provide the detailed information about how to convert fraction 352/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 352/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 352/42.

step 2 The numerator is greater than the denominator of the fraction 352/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 352/42
= 336 + 16/42
= (8 x 42) + 16/42

step 3 Make the above expression as individual fractions:
= (8 x 42)/42 + 16/42

step 4 Simplify the above expression:
= 8 x 42/42 + 16/42
= 8 + 16/42
= 8 + 8 x 2/21 x 2
= 8 + 8/21
8 + 8/21 can be written as a mixed number 8 ⁸/₂₁.


step 5 Find the decimal equivalent for the fractional part 8/21 in the above expression:
= 8 + 0.381
= 8.381
352/42 = 8.381

Hence,
352/42 as a decimal is 8.381
352/42 as a mixed number is 8 ⁸/₂₁