292/42 as a Decimal and Mixed Number

292/42 as a decimal and mixed number expansion provides the detailed information about what is 292/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

292/42 as a Decimal
292/42 = 6.9524
Hence,
292/42 as a decimal equals to 6.9524
where,
292/42 is a given fraction,
The decimal expansion of 292/42 is 6.9524

292/42 as a Mixed Number
292/42 = (252 + 40)/42
= 252/42 + 40/42
= 6 + 40/42
= 6 40/42
292/42 = 6 40/42

Hence,
292/42 as a mixed number is 6 ⁴⁰/₄₂
where,
292/42 is a given fraction,
6 ⁴⁰/₄₂ is the mixed number representation of 292/42.

The below work with steps provide the detailed information about how to convert fraction 292/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 292/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 292/42.

step 2 The numerator is greater than the denominator of the fraction 292/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 292/42
= 252 + 40/42
= (6 x 42) + 40/42

step 3 Make the above expression as individual fractions:
= (6 x 42)/42 + 40/42

step 4 Simplify the above expression:
= 6 x 42/42 + 40/42
= 6 + 40/42
= 6 + 20 x 2/21 x 2
= 6 + 20/21
6 + 20/21 can be written as a mixed number 6 ²⁰/₂₁.


step 5 Find the decimal equivalent for the fractional part 20/21 in the above expression:
= 6 + 0.9524
= 6.9524
292/42 = 6.9524

Hence,
292/42 as a decimal is 6.9524
292/42 as a mixed number is 6 ²⁰/₂₁