1. Explain the steps you would use to write 0.125 as a fraction in simplest form.
2. Change 2/3, 3/3, 4/3, 5/3, and 6/3 into decimals. Describe when a denominator of 3 results in a repeating decimal.
3. Use the same digit to make ?6/125 = 0.?08 true. (The question mark is what you have to figure out.)
Please leave an answer and this was probably easy for those of you that answered :D
2. Change 2/3, 3/3, 4/3, 5/3, and 6/3 into decimals. Describe when a denominator of 3 results in a repeating decimal.
3. Use the same digit to make ?6/125 = 0.?08 true. (The question mark is what you have to figure out.)
Please leave an answer and this was probably easy for those of you that answered :D
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1. That decimal can be written as 125/1000 because the decimal goes out to the thousandths place. then we can simplify that fraction by dividing the top and the bottom by 125 which gives you 1/8.
2. Since 1/3 is .333... then 2/3 would be twice that or .666... . 3/3 is going to be 1 because you're dividing a number by its self. 4/3 is like 3/3 + 1/3 so its going to be 1+.333... or 1.333... . 5/3 is like 3/3 + 2/3 so its going to be 1+.666... or 1.666... . 6/3 can be reduced by dividing the top and bottom by 3 which gives you 2/1 or 2. A denominator of 3 results in a repeating decimal when the top isn't a multiple of 3 (3,6,9,12,15...)
3.Just start guessing numbers. 1 doesn't work: 16/125=.128 2 does work though! 26/125=.208
2. Since 1/3 is .333... then 2/3 would be twice that or .666... . 3/3 is going to be 1 because you're dividing a number by its self. 4/3 is like 3/3 + 1/3 so its going to be 1+.333... or 1.333... . 5/3 is like 3/3 + 2/3 so its going to be 1+.666... or 1.666... . 6/3 can be reduced by dividing the top and bottom by 3 which gives you 2/1 or 2. A denominator of 3 results in a repeating decimal when the top isn't a multiple of 3 (3,6,9,12,15...)
3.Just start guessing numbers. 1 doesn't work: 16/125=.128 2 does work though! 26/125=.208
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1.) 0.125 = 125/1000 = 1/8
2.) 2/3 = 0.666...; 3/3 = 1; 4/3 = 1-1/3 = 1.333...; 5/3 = 1-2/3 = 1.666...; 6/3 = 2 Here you just divide the numerator by the denominator. A denominator of 3 will result in a repeating decimal whenever the numerator is NOT a multiple of 3.
3.) ?6/125 = 0.?08 I just used trial and error and it ends up being 2, 26/125 = 0.208
2.) 2/3 = 0.666...; 3/3 = 1; 4/3 = 1-1/3 = 1.333...; 5/3 = 1-2/3 = 1.666...; 6/3 = 2 Here you just divide the numerator by the denominator. A denominator of 3 will result in a repeating decimal whenever the numerator is NOT a multiple of 3.
3.) ?6/125 = 0.?08 I just used trial and error and it ends up being 2, 26/125 = 0.208