202/40 as a Decimal and Mixed Number

202/40 as a decimal and mixed number expansion provides the detailed information about what is 202/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

202/40 as a Decimal
202/40 = 5.05
Hence,
202/40 as a decimal equals to 5.05
where,
202/40 is a given fraction,
The decimal expansion of 202/40 is 5.05

202/40 as a Mixed Number
202/40 = (200 + 2)/40
= 200/40 + 2/40
= 5 + 2/40
= 5 2/40
202/40 = 5 2/40

Hence,
202/40 as a mixed number is 5 ²/₄₀
where,
202/40 is a given fraction,
5 ²/₄₀ is the mixed number representation of 202/40.

The below work with steps provide the detailed information about how to convert fraction 202/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 202/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 202/40.

step 2 The numerator is greater than the denominator of the fraction 202/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 202/40
= 200 + 2/40
= (5 x 40) + 2/40

step 3 Make the above expression as individual fractions:
= (5 x 40)/40 + 2/40

step 4 Simplify the above expression:
= 5 x 40/40 + 2/40
= 5 + 2/40
= 5 + 1 x 2/20 x 2
= 5 + 1/20
5 + 1/20 can be written as a mixed number 5 ¹/₂₀.


step 5 Find the decimal equivalent for the fractional part 1/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 5 + (1/20 x 5/5)
= 5 + 5/100

step 6 Simplify the above expression further:
= 5 + 0.05
= 5.05
202/40 = 5.05

Hence,
202/40 as a decimal is 5.05
202/40 as a mixed number is 5 ¹/₂₀