170/40 as a Decimal and Mixed Number

170/40 as a decimal and mixed number expansion provides the detailed information about what is 170/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

170/40 as a Decimal
170/40 = 4.25
Hence,
170/40 as a decimal equals to 4.25
where,
170/40 is a given fraction,
The decimal expansion of 170/40 is 4.25

170/40 as a Mixed Number
170/40 = (160 + 10)/40
= 160/40 + 10/40
= 4 + 10/40
= 4 10/40
170/40 = 4 10/40

Hence,
170/40 as a mixed number is 4 ¹⁰/₄₀
where,
170/40 is a given fraction,
4 ¹⁰/₄₀ is the mixed number representation of 170/40.

The below work with steps provide the detailed information about how to convert fraction 170/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 170/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 170/40.

step 2 The numerator is greater than the denominator of the fraction 170/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 170/40
= 160 + 10/40
= (4 x 40) + 10/40

step 3 Make the above expression as individual fractions:
= (4 x 40)/40 + 10/40

step 4 Simplify the above expression:
= 4 x 40/40 + 10/40
= 4 + 10/40
= 4 + 1 x 10/4 x 10
= 4 + 1/4
4 + 1/4 can be written as a mixed number 4 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 4 + (1/4 x 25/25)
= 4 + 25/100

step 6 Simplify the above expression further:
= 4 + 0.25
= 4.25
170/40 = 4.25

Hence,
170/40 as a decimal is 4.25
170/40 as a mixed number is 4 ¹/₄