218/120 as a Decimal and Mixed Number

218/120 as a decimal and mixed number expansion provides the detailed information about what is 218/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

218/120 as a Decimal
218/120 = 1.8167
Hence,
218/120 as a decimal equals to 1.8167
where,
218/120 is a given fraction,
The decimal expansion of 218/120 is 1.8167

218/120 as a Mixed Number
218/120 = (120 + 98)/120
= 120/120 + 98/120
= 1 + 98/120
= 1 98/120
218/120 = 1 98/120

Hence,
218/120 as a mixed number is 1 ⁹⁸/₁₂₀
where,
218/120 is a given fraction,
1 ⁹⁸/₁₂₀ is the mixed number representation of 218/120.

The below work with steps provide the detailed information about how to convert fraction 218/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 218/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 218/120.

step 2 The numerator is greater than the denominator of the fraction 218/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 218/120
= 120 + 98/120

step 3 Make the above expression as individual fractions:
= 120/120 + 98/120

step 4 Simplify the above expression:
= 1 x 120/120 + 98/120
= 1 + 98/120
= 1 + 49 x 2/60 x 2
= 1 + 49/60
1 + 49/60 can be written as a mixed number 1 ⁴⁹/₆₀.


step 5 Find the decimal equivalent for the fractional part 49/60 in the above expression:
= 1 + 0.8167
= 1.8167
218/120 = 1.8167

Hence,
218/120 as a decimal is 1.8167
218/120 as a mixed number is 1 ⁴⁹/₆₀