Fractions And Ratios

Question 1

What do all fractions express?

Answer 1

Part-to-Whole Relationship

Question 2

What do all ratios express?

Answer 2

Part-to-Part relationship

Question 3

What happens if you increase the numerator of a fraction while keeping the denominator constant?

Answer 3

The value increases

Question 4

What happens if you increase the denominator of a fraction while keeping the numerator constant?

Answer 4

The value gets smaller

Question 5

What happens when you add the exact same number to both the numerator and denominator?

Answer 5

The fraction gets closer to 1 (regardless of the fraction’s value)

Question 6

What happens when you add the exact same number to both the numerator and denominator, and the starting fraction is less than 1?

Answer 6

The fraction gets closer to 1 (it increases)

Question 7

What happens when you add the exact same number to both the numerator and denominator, and the starting fraction is greater than 1?

Answer 7

The fraction gets closer to 1 (it decreases)

Question 8

What is the number called by which you multiply the ratio to find the actual number of things?

Answer 8

Unknown Multiplier

Question 9

How do you double cross fractions [to compare them]?

Answer 9

Multiple the denominator of the second fraction by the numerator of the first fraction, and multiply the denominator of the first fraction by the numerator of the second fraction

Put each answer by the corresponding numerator

7/9 vs 4/5
= 7x5 vs 9x4
= 35 vs 36 (7/9 is smaller than 4/5)

Question 10

How do you use the double-cross method for adding or subtracting fractions?

Answer 10

Numerator: Follow cross-multiplication method for comparing fractions
Denominator: Multiply the denominator of the first fraction by the denominator of the second fraction