Suppose a tomato plant is 5 1/4 inches tall. A second tomato plant is 3 1/2 times as tall as the first plant. How many inches tall is the second tomato plant?
Question
Suppose a tomato plant is 5 1/4 inches tall. A second tomato plant is 3 1/2 times as tall as the first plant. How many inches tall is the second tomato plant?
Solution
To find the height of the second tomato plant, we need to multiply the height of the first plant by 3 1/2.
First, let's convert the mixed numbers to improper fractions.
5 1/4 = 21/4 (since 54 + 1 = 21) 3 1/2 = 7/2 (since 32 + 1 = 7)
Now, multiply these two fractions:
(21/4) * (7/2) = 147/8
To convert this improper fraction back to a mixed number, divide the numerator by the denominator:
147 ÷ 8 = 18 remainder 3
So, the second tomato plant is 18 3/8 inches tall.
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