Question 46 of 58intermediate🔧 ApplyNumerical9 marks
Convert the following decimal numbers in the form of .
(i)
12.6
Answer
63/5
(ii)
0.0120
Answer
3/250
(iii)
Answer
1511/495
(iv)
Answer
1223/990
(v)
Answer
23/99
(vi)
Answer
37/18
(vii)
Answer
1913/900
(viii)
Answer
2813/900
(ix)
Answer
105802/49995
Explanation
To convert terminating decimals, we write them as fractions with a power of 10 as the denominator and simplify. For repeating decimals, we use the algebraic method: let x equal the decimal, multiply by powers of 10 to shift the decimal point past the non-repeating and repeating parts, subtract the equations to eliminate the repeating part, and solve for x to get the simplest form of p/q.