332/42 as a Decimal and Mixed Number

332/42 as a decimal and mixed number expansion provides the detailed information about what is 332/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

332/42 as a Decimal
332/42 = 7.9048
Hence,
332/42 as a decimal equals to 7.9048
where,
332/42 is a given fraction,
The decimal expansion of 332/42 is 7.9048

332/42 as a Mixed Number
332/42 = (294 + 38)/42
= 294/42 + 38/42
= 7 + 38/42
= 7 38/42
332/42 = 7 38/42

Hence,
332/42 as a mixed number is 7 ³⁸/₄₂
where,
332/42 is a given fraction,
7 ³⁸/₄₂ is the mixed number representation of 332/42.

The below work with steps provide the detailed information about how to convert fraction 332/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 332/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 332/42.

step 2 The numerator is greater than the denominator of the fraction 332/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 332/42
= 294 + 38/42
= (7 x 42) + 38/42

step 3 Make the above expression as individual fractions:
= (7 x 42)/42 + 38/42

step 4 Simplify the above expression:
= 7 x 42/42 + 38/42
= 7 + 38/42
= 7 + 19 x 2/21 x 2
= 7 + 19/21
7 + 19/21 can be written as a mixed number 7 ¹⁹/₂₁.


step 5 Find the decimal equivalent for the fractional part 19/21 in the above expression:
= 7 + 0.9048
= 7.9048
332/42 = 7.9048

Hence,
332/42 as a decimal is 7.9048
332/42 as a mixed number is 7 ¹⁹/₂₁