Convert the following repeating decimal to a fraction in simplest form.
point, 63 3 being overlined
To convert the repeating decimal 63.3̅ to a fraction, we can use the following steps:
1. Let x = 63.3̅.
2. Multiply both sides of the equation by 10 to move the decimal point one place to the right: 10x = 633.3̅.
3. Subtract the original equation from the new equation to eliminate the repeating part: 10x - x = 633.3̅ - 63.3̅.
This simplifies to 9x = 570.
4. Divide both sides of the equation by 9 to solve for x: x = 570/9.
5. Simplify the fraction: x = 63⅓.
Therefore, the repeating decimal 63.3̅ can be represented as the fraction 63⅓ in simplest form.
no the 3 in 63 is overlined
Apologies for the confusion. To convert the repeating decimal 63.3̅ to a fraction, we can follow these steps:
1. Let x = 63.3̅.
2. Multiply both sides of the equation by 10 to eliminate the decimal part: 10x = 633.3̅.
3. Subtract the original equation from the new equation to cancel out the repeating part: 10x - x = 633.3̅ - 63.3̅.
This simplifies to 9x = 570.
4. Divide both sides of the equation by 9 to solve for x: x = 570/9.
5. Simplify the fraction: x = 63⅓.
Therefore, the repeating decimal 63.3̅ can be expressed as the fraction 63⅓ in simplest form.