324/42 as a Decimal and Mixed Number

324/42 as a decimal and mixed number expansion provides the detailed information about what is 324/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

324/42 as a Decimal
324/42 = 7.7143
Hence,
324/42 as a decimal equals to 7.7143
where,
324/42 is a given fraction,
The decimal expansion of 324/42 is 7.7143

324/42 as a Mixed Number
324/42 = (294 + 30)/42
= 294/42 + 30/42
= 7 + 30/42
= 7 30/42
324/42 = 7 30/42

Hence,
324/42 as a mixed number is 7 ³⁰/₄₂
where,
324/42 is a given fraction,
7 ³⁰/₄₂ is the mixed number representation of 324/42.

The below work with steps provide the detailed information about how to convert fraction 324/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/42.

step 2 The numerator is greater than the denominator of the fraction 324/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/42
= 294 + 30/42
= (7 x 42) + 30/42

step 3 Make the above expression as individual fractions:
= (7 x 42)/42 + 30/42

step 4 Simplify the above expression:
= 7 x 42/42 + 30/42
= 7 + 30/42
= 7 + 5 x 6/7 x 6
= 7 + 5/7
7 + 5/7 can be written as a mixed number 7 ⁵/₇.


step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 7 + 0.7143
= 7.7143
324/42 = 7.7143

Hence,
324/42 as a decimal is 7.7143
324/42 as a mixed number is 7 ⁵/₇