252/80 as a decimal and mixed number expansion provides the detailed information about what is 252/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
252/80 as a Decimal
252/80 = 3.15
Hence,
252/80 as a decimal equals to 3.15
where,
252/80 is a given fraction,
The decimal expansion of 252/80 is 3.15
252/80 as a Mixed Number
252/80 = (240 + 12)/80
= 240/80 + 12/80
= 3 + 12/80
= 3 12/80
252/80 = 3 12/80
Hence,
252/80 as a mixed number is 3 12/80
where,
252/80 is a given fraction,
3 12/80 is the mixed number representation of 252/80.
The below work with steps provide the detailed information about how to convert fraction 252/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 252/80
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 252/80.
step 2 The numerator is greater than the denominator of the fraction 252/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 252/80
= 240 + 12/80
= (3 x 80) + 12/80
step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 12/80
step 4 Simplify the above expression:
= 3 x 80/80 + 12/80
= 3 + 12/80
= 3 + 3 x 4/20 x 4
= 3 + 3/20
3 + 3/20 can be written as a mixed number 3 3/20.
step 5 Find the decimal equivalent for the fractional part 3/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 3 + (3/20 x 5/5)
= 3 + 15/100
step 6 Simplify the above expression further:
= 3 + 0.15
= 3.15
252/80 = 3.15
Hence,
252/80 as a decimal is 3.15
252/80 as a mixed number is 3 3/20