243/36 as a Decimal and Mixed Number
243/36 as a decimal and mixed number expansion provides the detailed information about what is 243/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
243/36 as a Decimal
243/36 = 6.75
Hence,
243/36 as a decimal equals to 6.75
where,
243/36 is a given fraction,
The decimal expansion of 243/36 is 6.75
243/36 as a Mixed Number
243/36 = (216 + 27)/36
= 216/36 + 27/36
= 6 + 27/36
= 6 27/36
243/36 = 6 27/36
Hence,
243/36 as a mixed number is 6 27/36
where,
243/36 is a given fraction,
6 27/36 is the mixed number representation of 243/36.
How-to: 243/36 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 243/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 243/36
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 243/36.
step 2 The numerator is greater than the denominator of the fraction 243/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 243/36
= 216 + 27/36
= (6 x 36) + 27/36
step 3 Make the above expression as individual fractions:
= (6 x 36)/36 + 27/36
step 4 Simplify the above expression:
= 6 x 36/36 + 27/36
= 6 + 27/36
= 6 + 3 x 9/4 x 9
= 6 + 3/4
6 + 3/4 can be written as a mixed number 6 3/4.
step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 6 + (3/4 x 25/25)
= 6 + 75/100
step 6 Simplify the above expression further:
= 6 + 0.75
= 6.75
243/36 = 6.75
Hence,
243/36 as a decimal is 6.75
243/36 as a mixed number is 6 3/4