345/80 as a Decimal and Mixed Number

345/80 as a decimal and mixed number expansion provides the detailed information about what is 345/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/80 as a Decimal
345/80 = 4.3125
Hence,
345/80 as a decimal equals to 4.3125
where,
345/80 is a given fraction,
The decimal expansion of 345/80 is 4.3125

345/80 as a Mixed Number
345/80 = (320 + 25)/80
= 320/80 + 25/80
= 4 + 25/80
= 4 25/80
345/80 = 4 25/80

Hence,
345/80 as a mixed number is 4 ²⁵/₈₀
where,
345/80 is a given fraction,
4 ²⁵/₈₀ is the mixed number representation of 345/80.

The below work with steps provide the detailed information about how to convert fraction 345/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/80.

step 2 The numerator is greater than the denominator of the fraction 345/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/80
= 320 + 25/80
= (4 x 80) + 25/80

step 3 Make the above expression as individual fractions:
= (4 x 80)/80 + 25/80

step 4 Simplify the above expression:
= 4 x 80/80 + 25/80
= 4 + 25/80
= 4 + 5 x 5/16 x 5
= 4 + 5/16
4 + 5/16 can be written as a mixed number 4 ⁵/₁₆.


step 5 Find the decimal equivalent for the fractional part 5/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 4 + (5/16 x 625/625)
= 4 + 3125/10000

step 6 Simplify the above expression further:
= 4 + 0.3125
= 4.3125
345/80 = 4.3125

Hence,
345/80 as a decimal is 4.3125
345/80 as a mixed number is 4 ⁵/₁₆