ratio, proportion, rates of change

Question 1

recurring decimals into fractions

Answer 1

0.4 recurring for example —>
4/9

0.81 recurring —>
81/99 or 9/11

0.1(2)5 recurring —>
125/999

0.(2)58 recurring —>
256/990

Question 2

method for recurring decimals into fractions

Answer 2

x= 0.4444….
10x= 0.4444…
9x= 4
x= 4/9

Question 3

simplifying ratio

Answer 3

find a common factor of both numbers, then divide them by that number

Question 4

ratio as a fraction

Answer 4

add the two numbers together for the denominator
make the numerator according to the question

Question 5

turning ratio into percentages

Answer 5

turn into a fraction, then into a percentage