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3 years ago

30 POINTS A student answered the question, 3 1/2 ÷ 5 4/9. He got the answer 15 9/8. What did he do wrong.

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

He multiplied the whole numbers and divided the fractions

Step-by-step explanation:

3 1/2 ÷ 5 4/9

change the mixed numbers to improper fractions

3 1/2 = (2*3 +1)/2 =7/2

5 4/9 = (9*5+4)/9 =49/9

7/2 ÷ 49/9

copy dot flip

7/2 * 9/49

rewrite

7/49 * 9/2

1/7 * 9/2

9/14

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This problem is half understanding the question and half just plugging in numbers.

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Remember that the subscripts (the small numbers in the corner) are simply the term number. $a_1$ is term 1, $a_2$ is term 2, etc. The equation is saying that "term 2 = 4 times term 1."

If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.

Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, $a_1$ = 6. That makes the next four terms:

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