2.b Comparing Fractions

Question 1

When comparing fractions, use a ______

Answer 1

Reference point!

eg.
198/400
vs
301/600

one is just over 1/2, the other is not!

Question 2

How can you determine which of these fractions is larger?

Answer 2

Bow Tie Method!

Question 3

Which of these fractions 7/9 and 6/8 is larger?

Answer 3

Bow Tie Method!

Multiply 7 and 8 = 56
Multiply 9 and 6 = 54

Because 56 > 54, 7/9 is larger!

Question 4

Aside from the bow tie method, how else can you compare the size of fractions?

Answer 4

Ensure all fractions have the same denominator!

Multiply by the LCD!

Question 5

Is this correct: 2/3 x 4/4 = 8/12?

Answer 5

2/3 x 4/4 = 8/12

= Correct!
8/12 = 2/3

Question 6

Is this correct: 2/3 + 4/4 = 6/7

Answer 6

NO!

2/3 + 4/4 =/= 6/7

Because 2/3 =/= 6/7

Question 7

In a fraction between 0 and 1, if you add a positive constant to both the numerator and denominator, what happens to the size of that fraction?

Answer 7

Makes the fraction LARGER

Question 8

In a fraction between 0 and 1, if you subtract a positive constant to both the numerator and denominator, what happens to the size of that fraction?

Answer 8

Makes the fraction SMALLER

Question 9

In a fraction great than 1, if you add a positive constant to both the numerator and denominator, what happens to the size of that fraction?

Answer 9

Makes the fraction SMALLER

Question 10

In a fraction great than 1, if you subtract a positive constant to both the numerator and denominator, what happens to the size of that fraction?

Answer 10

Makes the fraction LARGER

(AS LONG AS THE NEW NUMERATOR AND DENOMINATOR ARE BOTH STILL POSITIVE!)