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.....
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.
can you give me just the order plz
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.
so what are the numbers
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.