80/325 as a decimal expansion provides the detailed information about what is 80/325 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
80/325 as a Decimal
80/325 = 0.2462
Hence,
80/325 as a decimal equals to 0.2462
where,
80/325 is a given fraction,
The decimal expansion of 80/325 is 0.2462
80/325 as a Mixed Number
The given fraction 80/325 can't be represented as a mixed number since the numerator 80 of the given fraction is smaller than the denominator 325.
The below work with steps provide the detailed information about how to convert fraction 80/325 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 80/325
What to be found:
Find the decimal expansion of fraction 80/325.
step 2 The numerator is smaller than the denominator of the fraction 80/325, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 80/325.
= 80/325 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 80/325 x 1/100
= 8000/325 x 1/100
step 4 Simplify the above expression further:
= 8000/325 x 1/100
= 7800 + 200/325 x 1/100
= ( 7800/325 + 200/325) x 1/100
= (24 + 200/325 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 200/325 in the above expression:
= (24 + 200/325 ) x 1/100
= (24 + 0.615) x 1/100
step 6 Simplify the above expression further:
= (24 + 0.615) x 1/100
= 24.615 x 1/100
= 24.615/100
80/325= 0.24615
Hence,
80/325 as a decimal is 0.24615