Fractions

Question 1

Square root in the denominator

Answer 1

Use conjugate

Question 2

Recurring decimal to fraction

Answer 2

1. Recurring number as numerator
2. No of digits of recurring as no of digits of denominator
3. Denominator digits = last digit of recurring
4. Reduce

.3939

39 / 99 = 13 / 33

Question 3

Increase in value

Decrease in value

Answer 3

Decrease

1. Smaller than 1, raised to a power
2. Negative fraction raised to odd power

All others will increase in value

Question 4

Adding same number to numerator and denominator

Answer 4

1. If fraction is originally smaller than 1, it increases in value
2. If fraction is originally bigger than 1, it decreases in value

Question 5

Remainder formula

Answer 5

A / B = C + d / B