2/300 as a Decimal
2/300 as a decimal expansion provides the detailed information about what is 2/300 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
2/300 as a Decimal Expansion
2/300 = 0.0067
Hence,
2/300 as a decimal equals to 0.0067
where,
2/300 is a given fraction,
The decimal expansion of 2/300 is 0.0067
2/300 as a Mixed Number
The given fraction 2/300 can't be represented as a mixed number since the numerator 2 of the given fraction is smaller than the denominator 300.
How-to: 2/300 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 2/300 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 2/300
What to be found:
Find the decimal expansion of fraction 2/300.
step 2 The numerator is smaller than the denominator of the fraction 2/300, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 2/300.
= 2/300 x 1000/1000
step 3 Rearrange the fraction as like the below:
= 1000 x 2/300 x 1/1000
= 2000/300 x 1/1000
step 4 Simplify the above expression further:
= 2000/300 x 1/1000
= 1800 + 200/300 x 1/1000
= ( 1800/300 + 200/300) x 1/1000
= (6 + 200/300 ) x 1/1000
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 200/300 in the above expression:
= (6 + 200/300 ) x 1/1000
= (6 + 0.667) x 1/1000
step 6 Simplify the above expression further:
= (6 + 0.667) x 1/1000
= 6.667 x 1/1000
= 6.667/1000
2/300= 0.006667
Hence,
2/300 as a decimal is 0.006667
