319/220 as a Decimal and Mixed Number

319/220 as a decimal and mixed number expansion provides the detailed information about what is 319/220 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

319/220 as a Decimal
319/220 = 1.45
Hence,
319/220 as a decimal equals to 1.45
where,
319/220 is a given fraction,
The decimal expansion of 319/220 is 1.45

319/220 as a Mixed Number
319/220 = (220 + 99)/220
= 220/220 + 99/220
= 1 + 99/220
= 1 99/220
319/220 = 1 99/220

Hence,
319/220 as a mixed number is 1 ⁹⁹/₂₂₀
where,
319/220 is a given fraction,
1 ⁹⁹/₂₂₀ is the mixed number representation of 319/220.

The below work with steps provide the detailed information about how to convert fraction 319/220 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 319/220

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 319/220.

step 2 The numerator is greater than the denominator of the fraction 319/220, so write the given fraction in the expression form in terms of denominator as like the below:
= 319/220
= 220 + 99/220

step 3 Make the above expression as individual fractions:
= 220/220 + 99/220

step 4 Simplify the above expression:
= 1 x 220/220 + 99/220
= 1 + 99/220
= 1 + 9 x 11/20 x 11
= 1 + 9/20
1 + 9/20 can be written as a mixed number 1 ⁹/₂₀.


step 5 Find the decimal equivalent for the fractional part 9/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (9/20 x 5/5)
= 1 + 45/100

step 6 Simplify the above expression further:
= 1 + 0.45
= 1.45
319/220 = 1.45

Hence,
319/220 as a decimal is 1.45
319/220 as a mixed number is 1 ⁹/₂₀