245/42 as a Decimal and Mixed Number

245/42 as a decimal and mixed number expansion provides the detailed information about what is 245/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

245/42 as a Decimal
245/42 = 5.8333
Hence,
245/42 as a decimal equals to 5.8333
where,
245/42 is a given fraction,
The decimal expansion of 245/42 is 5.8333

245/42 as a Mixed Number
245/42 = (210 + 35)/42
= 210/42 + 35/42
= 5 + 35/42
= 5 35/42
245/42 = 5 35/42

Hence,
245/42 as a mixed number is 5 ³⁵/₄₂
where,
245/42 is a given fraction,
5 ³⁵/₄₂ is the mixed number representation of 245/42.

The below work with steps provide the detailed information about how to convert fraction 245/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 245/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 245/42.

step 2 The numerator is greater than the denominator of the fraction 245/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 245/42
= 210 + 35/42
= (5 x 42) + 35/42

step 3 Make the above expression as individual fractions:
= (5 x 42)/42 + 35/42

step 4 Simplify the above expression:
= 5 x 42/42 + 35/42
= 5 + 35/42
= 5 + 5 x 7/6 x 7
= 5 + 5/6
5 + 5/6 can be written as a mixed number 5 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 5 + 0.8333
= 5.8333
245/42 = 5.8333

Hence,
245/42 as a decimal is 5.8333
245/42 as a mixed number is 5 ⁵/₆