340/80 as a Decimal and Mixed Number

340/80 as a decimal and mixed number expansion provides the detailed information about what is 340/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

340/80 as a Decimal
340/80 = 4.25
Hence,
340/80 as a decimal equals to 4.25
where,
340/80 is a given fraction,
The decimal expansion of 340/80 is 4.25

340/80 as a Mixed Number
340/80 = (320 + 20)/80
= 320/80 + 20/80
= 4 + 20/80
= 4 20/80
340/80 = 4 20/80

Hence,
340/80 as a mixed number is 4 ²⁰/₈₀
where,
340/80 is a given fraction,
4 ²⁰/₈₀ is the mixed number representation of 340/80.

The below work with steps provide the detailed information about how to convert fraction 340/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 340/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 340/80.

step 2 The numerator is greater than the denominator of the fraction 340/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 340/80
= 320 + 20/80
= (4 x 80) + 20/80

step 3 Make the above expression as individual fractions:
= (4 x 80)/80 + 20/80

step 4 Simplify the above expression:
= 4 x 80/80 + 20/80
= 4 + 20/80
= 4 + 1 x 20/4 x 20
= 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
340/80 = 4.25

Hence,
340/80 as a decimal is 4.25
340/80 as a mixed number is 4 ¹/₄