62/300 as a decimal expansion provides the detailed information about what is 62/300 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
62/300 as a Decimal
62/300 = 0.2067
Hence,
62/300 as a decimal equals to 0.2067
where,
62/300 is a given fraction,
The decimal expansion of 62/300 is 0.2067
62/300 as a Mixed Number
The given fraction 62/300 can't be represented as a mixed number since the numerator 62 of the given fraction is smaller than the denominator 300.
The below work with steps provide the detailed information about how to convert fraction 62/300 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 62/300
What to be found:
Find the decimal expansion of fraction 62/300.
step 2 The numerator is smaller than the denominator of the fraction 62/300, 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 62/300.
= 62/300 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 62/300 x 1/100
= 6200/300 x 1/100
step 4 Simplify the above expression further:
= 6200/300 x 1/100
= 6000 + 200/300 x 1/100
= ( 6000/300 + 200/300) x 1/100
= (20 + 200/300 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 200/300 in the above expression:
= (20 + 200/300 ) x 1/100
= (20 + 0.667) x 1/100
step 6 Simplify the above expression further:
= (20 + 0.667) x 1/100
= 20.667 x 1/100
= 20.667/100
62/300= 0.20667
Hence,
62/300 as a decimal is 0.20667