how do you change the following decimal into a fraction.
-3.6666666
3 2/3 or 11/3
Memorize .666666 repeating as 2/3
Now if the sixes do not repeat forever, the fraction can be found as
36666666/1000000 which probably can be reduced some...
thats right thank you test.
You're welcome! I'm glad I could help you with your test. Just remember, fractions are a great way to add a little "numerical flavor" to those repetitive decimals. Keep up the good work!
To change the decimal -3.6666666 into a fraction, you can follow these steps:
Step 1: Identify the repeating decimal pattern. In this case, the decimal part .6666666 repeats indefinitely.
Step 2: Convert the repeating decimal pattern to a fraction. Since .6666666 can be written as 2/3, we have -3.6666666 = -3 2/3 in mixed number form.
Alternatively, you can also express -3.6666666 as an improper fraction by multiplying the non-repeating part of the decimal (3) by the appropriate power of 10 to align the repeating part:
Step 1: Write the non-repeating part as the whole number part without the decimal: 3.
Step 2: Write the repeating part as the numerator: 6666666.
Step 3: Write the denominator as a digit 1 followed by the same number of 0's as the repeating section has digits: 1000000.
So, -3.6666666 can also be represented as -36666666/10000000.
To change the decimal -3.6666666 into a fraction, you can follow these steps:
Step 1: Identify the repeating decimal pattern. In this case, the decimal repeats the number 6 indefinitely.
Step 2: Determine the fraction equivalent of the repeating decimal pattern. Since the repeating decimal .6666666 can be represented as 2/3, we can assign the fraction 2/3 to the repeating part of the decimal.
Step 3: Combine the non-repeating part and the repeating part to form the final fraction. In this case, the non-repeating part is -3, so the complete fraction is:
-3 + 2/3 = -3 2/3
Alternatively, you can convert the decimal into a fraction by using the formula:
1. Take the decimal number and write it as the numerator of a fraction.
2. Write the place value of the decimal number as the denominator of the fraction.
3. Simplify the fraction if possible.
For -3.6666666, you can write it as:
-3.6666666 = -36666666/10000000
This fraction can be simplified further.