A certain plant grows 1 2/5

inches every week. How long will it take the plant to grow 7 4/5
​inches?
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Part 1
How long will it take the plant to grow 7 4/5
​inches?

1 answer

To solve this problem, we need to determine how many weeks it will take for the plant to grow 7 4/5 inches.

First, we need to convert the mixed number 7 4/5 into an improper fraction.

7 4/5 = (7 * 5 + 4)/5 = 39/5

Next, we can set up a proportion to find the number of weeks it will take for the plant to grow 39/5 inches.

1 2/5 inches/week = 39/5 inches/x weeks

Now, we can cross multiply and solve for x:

(1 2/5) * x = (39/5)

To simplify, we can convert the mixed number 1 2/5 into an improper fraction:

(7/5) * x = 39/5

To isolate x, we can multiply both sides of the equation by the reciprocal of 7/5, which is 5/7:

(7/5) * (5/7) * x = (39/5) * (5/7)

This simplifies to:

x = 39/7

Therefore, it will take the plant approximately 39/7 weeks to grow 7 4/5 inches.