329/42 as a Decimal and Mixed Number

329/42 as a decimal and mixed number expansion provides the detailed information about what is 329/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

329/42 as a Decimal
329/42 = 7.8333
Hence,
329/42 as a decimal equals to 7.8333
where,
329/42 is a given fraction,
The decimal expansion of 329/42 is 7.8333

329/42 as a Mixed Number
329/42 = (294 + 35)/42
= 294/42 + 35/42
= 7 + 35/42
= 7 35/42
329/42 = 7 35/42

Hence,
329/42 as a mixed number is 7 ³⁵/₄₂
where,
329/42 is a given fraction,
7 ³⁵/₄₂ is the mixed number representation of 329/42.

The below work with steps provide the detailed information about how to convert fraction 329/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 329/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 329/42.

step 2 The numerator is greater than the denominator of the fraction 329/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 329/42
= 294 + 35/42
= (7 x 42) + 35/42

step 3 Make the above expression as individual fractions:
= (7 x 42)/42 + 35/42

step 4 Simplify the above expression:
= 7 x 42/42 + 35/42
= 7 + 35/42
= 7 + 5 x 7/6 x 7
= 7 + 5/6
7 + 5/6 can be written as a mixed number 7 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 7 + 0.8333
= 7.8333
329/42 = 7.8333

Hence,
329/42 as a decimal is 7.8333
329/42 as a mixed number is 7 ⁵/₆