A certain plant grows 1 2/5 inches every week. How long will it take the plant to grow 4 4/5 inches?
To calculate the time it will take for the plant to grow 4 4/5 inches, we need to divide the total growth by the growth rate per week.
First, let's convert the mixed numbers to improper fractions:
1 2/5 = (5 × 1 + 2) / 5 = 7/5
4 4/5 = (5 × 4 + 4) / 5 = 24/5
Now we have the growth rate: 7/5 inches per week.
To find the time it will take to grow 24/5 inches, we divide 24/5 by 7/5:
(24/5) ÷ (7/5) = 24/5 × 5/7 = 24/7
So, it will take the plant approximately 24/7 weeks to grow 4 4/5 inches.
Multiply.
You could change these fractions to improper fractions. Or you could change them to decimals.
What do you get?