173/40 as a Decimal and Mixed Number

173/40 as a decimal and mixed number expansion provides the detailed information about what is 173/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

173/40 as a Decimal
173/40 = 4.325
Hence,
173/40 as a decimal equals to 4.325
where,
173/40 is a given fraction,
The decimal expansion of 173/40 is 4.325

173/40 as a Mixed Number
173/40 = (160 + 13)/40
= 160/40 + 13/40
= 4 + 13/40
= 4 13/40
173/40 = 4 13/40

Hence,
173/40 as a mixed number is 4 ¹³/₄₀
where,
173/40 is a given fraction,
4 ¹³/₄₀ is the mixed number representation of 173/40.

The below work with steps provide the detailed information about how to convert fraction 173/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 173/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 173/40.

step 2 The numerator is greater than the denominator of the fraction 173/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 173/40
= 160 + 13/40
= (4 x 40) + 13/40

step 3 Make the above expression as individual fractions:
= (4 x 40)/40 + 13/40

step 4 Simplify the above expression:
= 4 x 40/40 + 13/40
= 4 + 13/40
4 + 13/40 can be written as a mixed number 4 ¹³/₄₀.


step 5 Find the decimal equivalent for the fractional part 13/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 4 + (13/40 x 25/25)
= 4 + 325/1000

step 6 Simplify the above expression further:
= 4 + 0.325
= 4.325
173/40 = 4.325

Hence,
173/40 as a decimal is 4.325
173/40 as a mixed number is 4 ¹³/₄₀