269/42 as a Decimal and Mixed Number

269/42 as a decimal and mixed number expansion provides the detailed information about what is 269/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

269/42 as a Decimal
269/42 = 6.4048
Hence,
269/42 as a decimal equals to 6.4048
where,
269/42 is a given fraction,
The decimal expansion of 269/42 is 6.4048

269/42 as a Mixed Number
269/42 = (252 + 17)/42
= 252/42 + 17/42
= 6 + 17/42
= 6 17/42
269/42 = 6 17/42

Hence,
269/42 as a mixed number is 6 ¹⁷/₄₂
where,
269/42 is a given fraction,
6 ¹⁷/₄₂ is the mixed number representation of 269/42.

The below work with steps provide the detailed information about how to convert fraction 269/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 269/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 269/42.

step 2 The numerator is greater than the denominator of the fraction 269/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 269/42
= 252 + 17/42
= (6 x 42) + 17/42

step 3 Make the above expression as individual fractions:
= (6 x 42)/42 + 17/42

step 4 Simplify the above expression:
= 6 x 42/42 + 17/42
= 6 + 17/42
6 + 17/42 can be written as a mixed number 6 ¹⁷/₄₂.


step 5 Find the decimal equivalent for the fractional part 17/42 in the above expression:
= 6 + 0.4048
= 6.4048
269/42 = 6.4048

Hence,
269/42 as a decimal is 6.4048
269/42 as a mixed number is 6 ¹⁷/₄₂