270/84 as a Decimal and Mixed Number
270/84 as a decimal and mixed number expansion provides the detailed information about what is 270/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
270/84 as a Decimal
270/84 = 3.2143
Hence,
270/84 as a decimal equals to 3.2143
where,
270/84 is a given fraction,
The decimal expansion of 270/84 is 3.2143
270/84 as a Mixed Number
270/84 = (252 + 18)/84
= 252/84 + 18/84
= 3 + 18/84
= 3 18/84
270/84 = 3 18/84
Hence,
270/84 as a mixed number is 3 18/84
where,
270/84 is a given fraction,
3 18/84 is the mixed number representation of 270/84.
How-to: 270/84 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 270/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/84
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/84.
step 2 The numerator is greater than the denominator of the fraction 270/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/84
= 252 + 18/84
= (3 x 84) + 18/84
step 3 Make the above expression as individual fractions:
= (3 x 84)/84 + 18/84
step 4 Simplify the above expression:
= 3 x 84/84 + 18/84
= 3 + 18/84
= 3 + 3 x 6/14 x 6
= 3 + 3/14
3 + 3/14 can be written as a mixed number 3 3/14.
step 5 Find the decimal equivalent for the fractional part 3/14 in the above expression:
= 3 + 0.2143
= 3.2143
270/84 = 3.2143
Hence,
270/84 as a decimal is 3.2143
270/84 as a mixed number is 3 3/14