Fractions

Question 1

What ways can you describe a faction?

Answer 1

x over y, x of y, x divided by y

Question 2

What could the numerator and the denominator also be called?

Answer 2

parts/whole

Question 3

What 3 ways can you describe the denominator?

Answer 3

-The total number of parts
-The divisor
-the bottom of the fraction

Question 4

What is the numerator?

Answer 4

-The parts of the whole
-The dividend
-The number on top

Question 5

How can you think of a percentage in relation to a fraction?

Answer 5

number over 100

Question 6

When can a fraction not be?

Answer 6

When the denominator is 0

Question 7

How do you simplify a fraction?

Answer 7

1. express the numerator & denominator as product of primes
2. cancel out all common factors

Question 8

What is an equivalent fraction?

Answer 8

Two fractions which have different numerators and denominators but have the same value (clear when simplified)

Question 9

How do you add or subtract two fractions?

Answer 9

1. Find lowest common multiple
2. Multiply each fraction by the number needed to get to the LCM as the denominator
3. Add the numerators
4. Simplify if applicable

Question 10

How do you find the LCM for large numbers?

Answer 10

1. Prime factorisation for the numbers
2. Take each prime factor from all the numbers
3. Multiply them together

Question 11

What is important to remember when finding the LCM for larger numbers?

Answer 11

If a factor is shared between the different values only take it the maximum amount of times it appears in one of the values

Question 12

How to multiply fractions?

Answer 12

1.Multiply the denominators
2. multiply the numerators
3. simplify by prime factorisation and cancelling common factors

Question 13

How do you divide a fraction by a fraction?

Answer 13

You flip the divisor (find its reciprocal) and multiply as usual

Question 14

How many signs are in one fraction

Answer 14

1. the numerators sign
2. the denominators sign
3. the fraction as a wholes sign

Question 15

How do you change any of those signs whilst not changing the value?

Answer 15

Find equivalent fraction by changing exactly two of the signs

Question 16

What is a reciprocal?

Answer 16

Flipping a fraction upside down

Question 17

What is the reciprocal of 0?

Answer 17

Undefined

Question 18

What happens when you multiply two reciprocals together?

Answer 18

You get 1

Question 19

How to know when to simplify further even when a numerator or denominator is a prime number?

Answer 19

When the numerator and denominator share a common factor

Question 20

How do you simplify a fraction which already has a prime in its numerator or denominator?

Answer 20

write it as a product of primes including 1 and cancel out as usual

Question 21

What must you always check when operating on fractions?

Answer 21

That the prime factorisation is correct