253/40 as a Decimal and Mixed Number

253/40 as a decimal and mixed number expansion provides the detailed information about what is 253/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

253/40 as a Decimal
253/40 = 6.325
Hence,
253/40 as a decimal equals to 6.325
where,
253/40 is a given fraction,
The decimal expansion of 253/40 is 6.325

253/40 as a Mixed Number
253/40 = (240 + 13)/40
= 240/40 + 13/40
= 6 + 13/40
= 6 13/40
253/40 = 6 13/40

Hence,
253/40 as a mixed number is 6 ¹³/₄₀
where,
253/40 is a given fraction,
6 ¹³/₄₀ is the mixed number representation of 253/40.

The below work with steps provide the detailed information about how to convert fraction 253/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 253/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 253/40.

step 2 The numerator is greater than the denominator of the fraction 253/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 253/40
= 240 + 13/40
= (6 x 40) + 13/40

step 3 Make the above expression as individual fractions:
= (6 x 40)/40 + 13/40

step 4 Simplify the above expression:
= 6 x 40/40 + 13/40
= 6 + 13/40
6 + 13/40 can be written as a mixed number 6 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:
= 6 + (13/40 x 25/25)
= 6 + 325/1000

step 6 Simplify the above expression further:
= 6 + 0.325
= 6.325
253/40 = 6.325

Hence,
253/40 as a decimal is 6.325
253/40 as a mixed number is 6 ¹³/₄₀