324/220 as a Decimal and Mixed Number

324/220 as a decimal and mixed number expansion provides the detailed information about what is 324/220 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

324/220 as a Decimal
324/220 = 1.4727
Hence,
324/220 as a decimal equals to 1.4727
where,
324/220 is a given fraction,
The decimal expansion of 324/220 is 1.4727

324/220 as a Mixed Number
324/220 = (220 + 104)/220
= 220/220 + 104/220
= 1 + 104/220
= 1 104/220
324/220 = 1 104/220

Hence,
324/220 as a mixed number is 1 ¹⁰⁴/₂₂₀
where,
324/220 is a given fraction,
1 ¹⁰⁴/₂₂₀ is the mixed number representation of 324/220.

The below work with steps provide the detailed information about how to convert fraction 324/220 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/220

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/220.

step 2 The numerator is greater than the denominator of the fraction 324/220, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/220
= 220 + 104/220

step 3 Make the above expression as individual fractions:
= 220/220 + 104/220

step 4 Simplify the above expression:
= 1 x 220/220 + 104/220
= 1 + 104/220
= 1 + 26 x 4/55 x 4
= 1 + 26/55
1 + 26/55 can be written as a mixed number 1 ²⁶/₅₅.


step 5 Find the decimal equivalent for the fractional part 26/55 in the above expression:
= 1 + 0.4727
= 1.4727
324/220 = 1.4727

Hence,
324/220 as a decimal is 1.4727
324/220 as a mixed number is 1 ²⁶/₅₅