60/320 as a decimal expansion provides the detailed information about what is 60/320 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
60/320 as a Decimal
60/320 = 0.1875
Hence,
60/320 as a decimal equals to 0.1875
where,
60/320 is a given fraction,
The decimal expansion of 60/320 is 0.1875
60/320 as a Mixed Number
The given fraction 60/320 can't be represented as a mixed number since the numerator 60 of the given fraction is smaller than the denominator 320.
The below work with steps provide the detailed information about how to convert fraction 60/320 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 60/320
What to be found:
Find the decimal expansion of fraction 60/320.
step 2 The numerator is smaller than the denominator of the fraction 60/320, 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 60/320.
= 60/320 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 60/320 x 1/100
= 6000/320 x 1/100
step 4 Simplify the above expression further:
= 6000/320 x 1/100
= 5760 + 240/320 x 1/100
= ( 5760/320 + 240/320) x 1/100
= (18 + 240/320 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 240/320 in the above expression:
= (18 + 240/320 ) x 1/100
= (18 + 0.75) x 1/100
step 6 Simplify the above expression further:
= (18 + 0.75) x 1/100
= 18.75 x 1/100
= 18.75/100
60/320= 0.1875
Hence,
60/320 as a decimal is 0.1875