262/18 as a Decimal and Mixed Number

262/18 as a decimal and mixed number expansion provides the detailed information about what is 262/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

262/18 as a Decimal
262/18 = 14.5556
Hence,
262/18 as a decimal equals to 14.5556
where,
262/18 is a given fraction,
The decimal expansion of 262/18 is 14.5556

262/18 as a Mixed Number
262/18 = (252 + 10)/18
= 252/18 + 10/18
= 14 + 10/18
= 14 10/18
262/18 = 14 10/18

Hence,
262/18 as a mixed number is 14 ¹⁰/₁₈
where,
262/18 is a given fraction,
14 ¹⁰/₁₈ is the mixed number representation of 262/18.

The below work with steps provide the detailed information about how to convert fraction 262/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 262/18

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 262/18.

step 2 The numerator is greater than the denominator of the fraction 262/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 262/18
= 252 + 10/18
= (14 x 18) + 10/18

step 3 Make the above expression as individual fractions:
= (14 x 18)/18 + 10/18

step 4 Simplify the above expression:
= 14 x 18/18 + 10/18
= 14 + 10/18
= 14 + 5 x 2/9 x 2
= 14 + 5/9
14 + 5/9 can be written as a mixed number 14 ⁵/₉.


step 5 Find the decimal equivalent for the fractional part 5/9 in the above expression:
= 14 + 0.5556
= 14.5556
262/18 = 14.5556

Hence,
262/18 as a decimal is 14.5556
262/18 as a mixed number is 14 ⁵/₉