Question

63.63 repeating as a fraction. Show the work.

a) ( frac{63}{100} )
b) ( frac{6363}{9900} )
c) ( frac{63}{99} )
d) ( frac{6363

}{10000} )

Answer 1

To convert a repeating decimal to a fraction, multiply the decimal by a power of 10 to eliminate the repeating part. Subtract the original decimal from the new decimal. The fraction form of the repeating decimal 63.63 is (6363/100).

Step-by-step explanation:

To convert a repeating decimal to a fraction, let's denote the repeating decimal as 'x'. Multiply 'x' by a power of 10 that eliminates the repeating part of the decimal. Subtract the original decimal from this new decimal to eliminate the repeating part.

For the given repeating decimal 63.63, let's multiply by 100 to eliminate the repeating part:

63.63 × 100 = 6363

Now, subtract the original decimal from the new decimal:

6363 - 63.63 = 6299.37

The fraction form of the repeating decimal 63.63 is (6363/100). Therefore, the correct answer is option a) (6363/100).