350/80 as a Decimal and Mixed Number

350/80 as a decimal and mixed number expansion provides the detailed information about what is 350/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

350/80 as a Decimal
350/80 = 4.375
Hence,
350/80 as a decimal equals to 4.375
where,
350/80 is a given fraction,
The decimal expansion of 350/80 is 4.375

350/80 as a Mixed Number
350/80 = (320 + 30)/80
= 320/80 + 30/80
= 4 + 30/80
= 4 30/80
350/80 = 4 30/80

Hence,
350/80 as a mixed number is 4 ³⁰/₈₀
where,
350/80 is a given fraction,
4 ³⁰/₈₀ is the mixed number representation of 350/80.

The below work with steps provide the detailed information about how to convert fraction 350/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 350/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 350/80.

step 2 The numerator is greater than the denominator of the fraction 350/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 350/80
= 320 + 30/80
= (4 x 80) + 30/80

step 3 Make the above expression as individual fractions:
= (4 x 80)/80 + 30/80

step 4 Simplify the above expression:
= 4 x 80/80 + 30/80
= 4 + 30/80
= 4 + 3 x 10/8 x 10
= 4 + 3/8
4 + 3/8 can be written as a mixed number 4 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 4 + (3/8 x 125/125)
= 4 + 375/1000

step 6 Simplify the above expression further:
= 4 + 0.375
= 4.375
350/80 = 4.375

Hence,
350/80 as a decimal is 4.375
350/80 as a mixed number is 4 ³/₈