175/42 as a Decimal and Mixed Number

175/42 as a decimal and mixed number expansion provides the detailed information about what is 175/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

175/42 as a Decimal
175/42 = 4.1667
Hence,
175/42 as a decimal equals to 4.1667
where,
175/42 is a given fraction,
The decimal expansion of 175/42 is 4.1667

175/42 as a Mixed Number
175/42 = (168 + 7)/42
= 168/42 + 7/42
= 4 + 7/42
= 4 7/42
175/42 = 4 7/42

Hence,
175/42 as a mixed number is 4 ⁷/₄₂
where,
175/42 is a given fraction,
4 ⁷/₄₂ is the mixed number representation of 175/42.

The below work with steps provide the detailed information about how to convert fraction 175/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 175/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 175/42.

step 2 The numerator is greater than the denominator of the fraction 175/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 175/42
= 168 + 7/42
= (4 x 42) + 7/42

step 3 Make the above expression as individual fractions:
= (4 x 42)/42 + 7/42

step 4 Simplify the above expression:
= 4 x 42/42 + 7/42
= 4 + 7/42
= 4 + 1 x 7/6 x 7
= 4 + 1/6
4 + 1/6 can be written as a mixed number 4 ¹/₆.


step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
= 4 + 0.1667
= 4.1667
175/42 = 4.1667

Hence,
175/42 as a decimal is 4.1667
175/42 as a mixed number is 4 ¹/₆