Represent x = 0.0154 recurring as a fraction.
To represent x = 0.0154 recurring as a fraction you need to eliminate the recurring element. You do this by finding the nearest multiple of x with the same recurring decimal element. For example, multiplying x by 10,000 gives 10,000x = 154.0154 recurring.
x and 10,000x both have the same recurring element so you can eliminate this by subtracting x from 10,000x.
10,000x -x = 9,999x
154.0154 - 0.0154 = 154
So 9,999x = 154
Divide both sides by 9,999 to find x
x = 154/9999
LF
Related Maths GCSE answers
All answers ▸Solve by completing the square: x^2 - 8x + 12 = 0
The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.
Increase £190 by 25%
The second term of an arithmetic sequence is 7. The sum of the first four terms of the arithmetic sequence is 12. Find the first term, a, and the common difference, d, of the sequence.