329/46 as a Decimal and Mixed Number

329/46 as a decimal and mixed number expansion provides the detailed information about what is 329/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

329/46 as a Decimal
329/46 = 7.1522
Hence,
329/46 as a decimal equals to 7.1522
where,
329/46 is a given fraction,
The decimal expansion of 329/46 is 7.1522

329/46 as a Mixed Number
329/46 = (322 + 7)/46
= 322/46 + 7/46
= 7 + 7/46
= 7 7/46
329/46 = 7 7/46

Hence,
329/46 as a mixed number is 7 ⁷/₄₆
where,
329/46 is a given fraction,
7 ⁷/₄₆ is the mixed number representation of 329/46.

The below work with steps provide the detailed information about how to convert fraction 329/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 329/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 329/46.

step 2 The numerator is greater than the denominator of the fraction 329/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 329/46
= 322 + 7/46
= (7 x 46) + 7/46

step 3 Make the above expression as individual fractions:
= (7 x 46)/46 + 7/46

step 4 Simplify the above expression:
= 7 x 46/46 + 7/46
= 7 + 7/46
7 + 7/46 can be written as a mixed number 7 ⁷/₄₆.


step 5 Find the decimal equivalent for the fractional part 7/46 in the above expression:
= 7 + 0.1522
= 7.1522
329/46 = 7.1522

Hence,
329/46 as a decimal is 7.1522
329/46 as a mixed number is 7 ⁷/₄₆