273/36 as a decimal and mixed number expansion provides the detailed information about what is 273/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
273/36 as a Decimal
273/36 = 7.5833
Hence,
273/36 as a decimal equals to 7.5833
where,
273/36 is a given fraction,
The decimal expansion of 273/36 is 7.5833
273/36 as a Mixed Number
273/36 = (252 + 21)/36
= 252/36 + 21/36
= 7 + 21/36
= 7 21/36
273/36 = 7 21/36
Hence,
273/36 as a mixed number is 7 21/36
where,
273/36 is a given fraction,
7 21/36 is the mixed number representation of 273/36.
The below work with steps provide the detailed information about how to convert fraction 273/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 273/36
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 273/36.
step 2 The numerator is greater than the denominator of the fraction 273/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 273/36
= 252 + 21/36
= (7 x 36) + 21/36
step 3 Make the above expression as individual fractions:
= (7 x 36)/36 + 21/36
step 4 Simplify the above expression:
= 7 x 36/36 + 21/36
= 7 + 21/36
= 7 + 7 x 3/12 x 3
= 7 + 7/12
7 + 7/12 can be written as a mixed number 7 7/12.
step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
= 7 + 0.5833
= 7.5833
273/36 = 7.5833
Hence,
273/36 as a decimal is 7.5833
273/36 as a mixed number is 7 7/12