208/40 as a Decimal and Mixed Number

208/40 as a decimal and mixed number expansion provides the detailed information about what is 208/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

208/40 as a Decimal
208/40 = 5.2
Hence,
208/40 as a decimal equals to 5.2
where,
208/40 is a given fraction,
The decimal expansion of 208/40 is 5.2

208/40 as a Mixed Number
208/40 = (200 + 8)/40
= 200/40 + 8/40
= 5 + 8/40
= 5 8/40
208/40 = 5 8/40

Hence,
208/40 as a mixed number is 5 ⁸/₄₀
where,
208/40 is a given fraction,
5 ⁸/₄₀ is the mixed number representation of 208/40.

The below work with steps provide the detailed information about how to convert fraction 208/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 208/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 208/40.

step 2 The numerator is greater than the denominator of the fraction 208/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 208/40
= 200 + 8/40
= (5 x 40) + 8/40

step 3 Make the above expression as individual fractions:
= (5 x 40)/40 + 8/40

step 4 Simplify the above expression:
= 5 x 40/40 + 8/40
= 5 + 8/40
= 5 + 1 x 8/5 x 8
= 5 + 1/5
5 + 1/5 can be written as a mixed number 5 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 5 + (1/5 x 2/2)
= 5 + 2/10

step 6 Simplify the above expression further:
= 5 + 0.2
= 5.2
208/40 = 5.2

Hence,
208/40 as a decimal is 5.2
208/40 as a mixed number is 5 ¹/₅