52/160 as a decimal expansion provides the detailed information about what is 52/160 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
52/160 as a Decimal
52/160 = 0.325
Hence,
52/160 as a decimal equals to 0.325
where,
52/160 is a given fraction,
The decimal expansion of 52/160 is 0.325
52/160 as a Mixed Number
The given fraction 52/160 can't be represented as a mixed number since the numerator 52 of the given fraction is smaller than the denominator 160.
The below work with steps provide the detailed information about how to convert fraction 52/160 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 52/160
What to be found:
Find the decimal expansion of fraction 52/160.
step 2 The numerator is smaller than the denominator of the fraction 52/160, 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 52/160.
= 52/160 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 52/160 x 1/100
= 5200/160 x 1/100
step 4 Simplify the above expression further:
= 5200/160 x 1/100
= 5120 + 80/160 x 1/100
= ( 5120/160 + 80/160) x 1/100
= (32 + 80/160 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 80/160 in the above expression:
= (32 + 80/160 ) x 1/100
= (32 + 0.5) x 1/100
step 6 Simplify the above expression further:
= (32 + 0.5) x 1/100
= 32.5 x 1/100
= 32.5/100
52/160= 0.325
Hence,
52/160 as a decimal is 0.325