262/36 as a Decimal and Mixed Number

262/36 as a decimal and mixed number expansion provides the detailed information about what is 262/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

262/36 as a Decimal
262/36 = 7.2778
Hence,
262/36 as a decimal equals to 7.2778
where,
262/36 is a given fraction,
The decimal expansion of 262/36 is 7.2778

262/36 as a Mixed Number
262/36 = (252 + 10)/36
= 252/36 + 10/36
= 7 + 10/36
= 7 10/36
262/36 = 7 10/36

Hence,
262/36 as a mixed number is 7 ¹⁰/₃₆
where,
262/36 is a given fraction,
7 ¹⁰/₃₆ is the mixed number representation of 262/36.

The below work with steps provide the detailed information about how to convert fraction 262/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 262/36

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 262/36.

step 2 The numerator is greater than the denominator of the fraction 262/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 262/36
= 252 + 10/36
= (7 x 36) + 10/36

step 3 Make the above expression as individual fractions:
= (7 x 36)/36 + 10/36

step 4 Simplify the above expression:
= 7 x 36/36 + 10/36
= 7 + 10/36
= 7 + 5 x 2/18 x 2
= 7 + 5/18
7 + 5/18 can be written as a mixed number 7 ⁵/₁₈.


step 5 Find the decimal equivalent for the fractional part 5/18 in the above expression:
= 7 + 0.2778
= 7.2778
262/36 = 7.2778

Hence,
262/36 as a decimal is 7.2778
262/36 as a mixed number is 7 ⁵/₁₈