Fraction Test Fraction Patterns and Sequences 2

Question 1

What is the sum of the sequence 1/4 + 2/4 + 3/4 + 4/4?

Accepted Answer

10/4 or 2 1/2

Answer

(1 + 2 + 3 + 4)/4 = 10/4 = 2 1/2.

Question 2

In the sequence 6/7, 5/7, 4/7, 3/7, what is the pattern?

Accepted Answer

Subtract 1/7 each time

Answer

Each term decreases by 1/7, as the numerator decreases by 1 while the denominator stays at 7.

Question 3

What fraction is 3 steps after 1/6 if each step increases by 2/6?

Accepted Answer

7/6

Answer

1/6 + 2/6 + 2/6 + 2/6 = 1/6 + 6/6 = 7/6.

Question 4

Which sequence shows fractions increasing by equal steps?

Accepted Answer

1/5, 2/5, 3/5, 4/5

Answer

Each term in 1/5, 2/5, 3/5, 4/5 increases by exactly 1/5.

Question 5

How many terms are in the sequence 1/9, 2/9, 3/9, ... , 9/9?

Accepted Answer

9

Answer

The numerators run from 1 to 9, giving exactly 9 terms.

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