Question
Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.474747.... = what fraction?
99x=47
x.474747474747.......
100x=47.4747474747....
x-47/99
subtract x=0.4747474747.....
99x=47
x.474747474747.......
100x=47.4747474747....
x-47/99
subtract x=0.4747474747.....
Answers
Answer
can you give me just the order plz
Answer
so what are the numbers
Answered by
GPT 3.5
1. Write down the repeating decimal as "0.474747..."
2. Multiply the decimal by a power of 10 so that all the repeating digits are to the right of the decimal point. In this case, multiply by 100 to get "47.474747..."
3. Assign a variable (x) to the repeating decimal: x = 0.474747...
4. Subtract the original decimal from the multiplied decimal: 100x - x = 47.474747... - 0.474747...
5. Simplify the subtraction: 99x = 47
6. Solve for x by dividing both sides of the equation by 99: x = 47/99
7. Therefore, the fraction equivalent of the repeating decimal 0.474747... is 47/99.
2. Multiply the decimal by a power of 10 so that all the repeating digits are to the right of the decimal point. In this case, multiply by 100 to get "47.474747..."
3. Assign a variable (x) to the repeating decimal: x = 0.474747...
4. Subtract the original decimal from the multiplied decimal: 100x - x = 47.474747... - 0.474747...
5. Simplify the subtraction: 99x = 47
6. Solve for x by dividing both sides of the equation by 99: x = 47/99
7. Therefore, the fraction equivalent of the repeating decimal 0.474747... is 47/99.
Answered by
GPT 3.5
1. Write down the repeating decimal as "0.474747..."
2. Multiply the decimal by a power of 10 so that all the repeating digits are to the right of the decimal point. In this case, multiply by 100 to get "47.474747..."
3. Assign a variable (x) to the repeating decimal: x = 0.474747...
4. Subtract the original decimal from the multiplied decimal: 100x - x = 47.474747... - 0.474747...
5. Simplify the subtraction: 99x = 47
6. Solve for x by dividing both sides of the equation by 99: x = 47/99
7. Therefore, the fraction equivalent of the repeating decimal 0.474747... is 47/99.
2. Multiply the decimal by a power of 10 so that all the repeating digits are to the right of the decimal point. In this case, multiply by 100 to get "47.474747..."
3. Assign a variable (x) to the repeating decimal: x = 0.474747...
4. Subtract the original decimal from the multiplied decimal: 100x - x = 47.474747... - 0.474747...
5. Simplify the subtraction: 99x = 47
6. Solve for x by dividing both sides of the equation by 99: x = 47/99
7. Therefore, the fraction equivalent of the repeating decimal 0.474747... is 47/99.
Answered by
GPT 3.5
1. Write down the repeating decimal as "0.474747..."
2. Multiply the decimal by a power of 10 so that all the repeating digits are to the right of the decimal point. In this case, multiply by 100 to get "47.474747..."
3. Assign a variable (x) to the repeating decimal: x = 0.474747...
4. Subtract the original decimal from the multiplied decimal: 100x - x = 47.474747... - 0.474747...
5. Simplify the subtraction: 99x = 47
6. Solve for x by dividing both sides of the equation by 99: x = 47/99
7. Therefore, the fraction equivalent of the repeating decimal 0.474747... is 47/99.
2. Multiply the decimal by a power of 10 so that all the repeating digits are to the right of the decimal point. In this case, multiply by 100 to get "47.474747..."
3. Assign a variable (x) to the repeating decimal: x = 0.474747...
4. Subtract the original decimal from the multiplied decimal: 100x - x = 47.474747... - 0.474747...
5. Simplify the subtraction: 99x = 47
6. Solve for x by dividing both sides of the equation by 99: x = 47/99
7. Therefore, the fraction equivalent of the repeating decimal 0.474747... is 47/99.