262/4 as a Decimal and Mixed Number

262/4 as a decimal and mixed number expansion provides the detailed information about what is 262/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

262/4 as a Decimal
262/4 = 65.5
Hence,
262/4 as a decimal equals to 65.5
where,
262/4 is a given fraction,
The decimal expansion of 262/4 is 65.5

262/4 as a Mixed Number
262/4 = (260 + 2)/4
= 260/4 + 2/4
= 65 + 2/4
= 65 2/4
262/4 = 65 2/4

Hence,
262/4 as a mixed number is 65 ²/₄
where,
262/4 is a given fraction,
65 ²/₄ is the mixed number representation of 262/4.

The below work with steps provide the detailed information about how to convert fraction 262/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 262/4

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 262/4.

step 2 The numerator is greater than the denominator of the fraction 262/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 262/4
= 260 + 2/4
= (65 x 4) + 2/4

step 3 Make the above expression as individual fractions:
= (65 x 4)/4 + 2/4

step 4 Simplify the above expression:
= 65 x 4/4 + 2/4
= 65 + 2/4
= 65 + 1 x 2/2 x 2
= 65 + 1/2
65 + 1/2 can be written as a mixed number 65 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 65 + (1/2 x 5/5)
= 65 + 5/10

step 6 Simplify the above expression further:
= 65 + 0.5
= 65.5
262/4 = 65.5

Hence,
262/4 as a decimal is 65.5
262/4 as a mixed number is 65 ¹/₂