175/84 as a Decimal and Mixed Number

175/84 as a decimal and mixed number expansion provides the detailed information about what is 175/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

175/84 as a Decimal
175/84 = 2.0833
Hence,
175/84 as a decimal equals to 2.0833
where,
175/84 is a given fraction,
The decimal expansion of 175/84 is 2.0833

175/84 as a Mixed Number
175/84 = (168 + 7)/84
= 168/84 + 7/84
= 2 + 7/84
= 2 7/84
175/84 = 2 7/84

Hence,
175/84 as a mixed number is 2 ⁷/₈₄
where,
175/84 is a given fraction,
2 ⁷/₈₄ is the mixed number representation of 175/84.

The below work with steps provide the detailed information about how to convert fraction 175/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 175/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 175/84.

step 2 The numerator is greater than the denominator of the fraction 175/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 175/84
= 168 + 7/84
= (2 x 84) + 7/84

step 3 Make the above expression as individual fractions:
= (2 x 84)/84 + 7/84

step 4 Simplify the above expression:
= 2 x 84/84 + 7/84
= 2 + 7/84
= 2 + 1 x 7/12 x 7
= 2 + 1/12
2 + 1/12 can be written as a mixed number 2 ¹/₁₂.


step 5 Find the decimal equivalent for the fractional part 1/12 in the above expression:
= 2 + 0.0833
= 2.0833
175/84 = 2.0833

Hence,
175/84 as a decimal is 2.0833
175/84 as a mixed number is 2 ¹/₁₂