238/220 as a Decimal and Mixed Number

238/220 as a decimal and mixed number expansion provides the detailed information about what is 238/220 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

238/220 as a Decimal
238/220 = 1.0818
Hence,
238/220 as a decimal equals to 1.0818
where,
238/220 is a given fraction,
The decimal expansion of 238/220 is 1.0818

238/220 as a Mixed Number
238/220 = (220 + 18)/220
= 220/220 + 18/220
= 1 + 18/220
= 1 18/220
238/220 = 1 18/220

Hence,
238/220 as a mixed number is 1 ¹⁸/₂₂₀
where,
238/220 is a given fraction,
1 ¹⁸/₂₂₀ is the mixed number representation of 238/220.

The below work with steps provide the detailed information about how to convert fraction 238/220 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 238/220

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 238/220.

step 2 The numerator is greater than the denominator of the fraction 238/220, so write the given fraction in the expression form in terms of denominator as like the below:
= 238/220
= 220 + 18/220

step 3 Make the above expression as individual fractions:
= 220/220 + 18/220

step 4 Simplify the above expression:
= 1 x 220/220 + 18/220
= 1 + 18/220
= 1 + 9 x 2/110 x 2
= 1 + 9/110
1 + 9/110 can be written as a mixed number 1 ⁹/₁₁₀.


step 5 Find the decimal equivalent for the fractional part 9/110 in the above expression:
= 1 + 0.0818
= 1.0818
238/220 = 1.0818

Hence,
238/220 as a decimal is 1.0818
238/220 as a mixed number is 1 ⁹/₁₁₀