Answer:
1. 4/12, 3/9, 2/6, 5/15
2. 4/8, 8/16, 6/12
3. 2/8, 4/16, 3/12
4. 6/8, 9/12, 4/16
Step-by-step explanation:
I'm assuming your question is about all 4 problems shown so I'll explain how to solve all of them.
1. The question is asking you to find an equivalent fraction to 1/3. The easiest way to do this is to reduce all of the options given.
To reduce fractions, first determine if the numerator and denominator share any factors. If they do, divide both terms by the shared factors until you no longer get whole numbers.
Step 1: reduce answer choices
6/16 = 3/8 (done by dividing both terms by 2)
4/10 = 2/5 (divide both by 2)
3/8 = 3/8 (fully reduced)
2/5 = 2/5 (fully reduced)
4/12 = 1/3 (divide both by 4)
5/10 = 1/2 (divide both by 5)
1/2 = 1/2 (fully reduced)
3/9 = 1/3 (divide both by 3)
2/6 = 1/3 (divide both by 2)
5/15 = 1/3 (divide both by 5)
3/8 = 3/8 (fully reduced)
3/4 = 3/4 (fully reduced)
2. This question is solved the same way as question 1.
Step 1: reduce answer choices
2/5 = 2/5
6/9 = 2/3
4/8 = 1/2
3/9 = 1/3
8/16 = 1/2
8/10 = 4/5
7/12 = 7/12
6/12 = 1/2
3. This question is solved the same way as questions 1 and 2.
Step 1: reduce answer choices
3/8 = 3/8
2/8 = 1/4
4/9 = 4/9
2/7 = 2/7
4/16 = 1/4
10/14 = 5/7
6/9 = 2/3
3/12 = 1/4
4. This question is solved the same way as questions 1, 2, and 3.
Step 1: reduce answer choices
6/8 = 3/4
4/9 = 4/9
4/6 = 2/3
9/12 = 3/4
10/12 = 5/6
6/9 = 2/3
12/16 = 3/4
7/9 =7/9
where m is the slope and b is the y-intercept (the value of y when x is 0)