Question

0.04 with 4 repeating as a fraction. Not the 04 repeating just the 4 is repeating. What is the answer???

Answer 1

Answer:

2/45

Step-by-step explanation:

0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: $(\frac{1}{10} )(\frac{4}{9} )$. Multiplying the two fractions results in 4/90 which can be simplified to 2/45.