348/42 as a Decimal and Mixed Number

348/42 as a decimal and mixed number expansion provides the detailed information about what is 348/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

348/42 as a Decimal
348/42 = 8.2857
Hence,
348/42 as a decimal equals to 8.2857
where,
348/42 is a given fraction,
The decimal expansion of 348/42 is 8.2857

348/42 as a Mixed Number
348/42 = (336 + 12)/42
= 336/42 + 12/42
= 8 + 12/42
= 8 12/42
348/42 = 8 12/42

Hence,
348/42 as a mixed number is 8 ¹²/₄₂
where,
348/42 is a given fraction,
8 ¹²/₄₂ is the mixed number representation of 348/42.

The below work with steps provide the detailed information about how to convert fraction 348/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 348/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 348/42.

step 2 The numerator is greater than the denominator of the fraction 348/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 348/42
= 336 + 12/42
= (8 x 42) + 12/42

step 3 Make the above expression as individual fractions:
= (8 x 42)/42 + 12/42

step 4 Simplify the above expression:
= 8 x 42/42 + 12/42
= 8 + 12/42
= 8 + 2 x 6/7 x 6
= 8 + 2/7
8 + 2/7 can be written as a mixed number 8 ²/₇.


step 5 Find the decimal equivalent for the fractional part 2/7 in the above expression:
= 8 + 0.2857
= 8.2857
348/42 = 8.2857

Hence,
348/42 as a decimal is 8.2857
348/42 as a mixed number is 8 ²/₇