Regan planted a lemon tree and a cherry tree. The lemon tree is 4 2/3 feet tall. The cherry tree is 3 4/5 times as tall as the lemon tree. How tall is Regan's cherry tree? Write your answer as a fraction or as a whole or mixed number. _____ feet

Convert to Improper Fraction: Step 1: Convert the height of the lemon tree to an improper fraction for easier multiplication. 4 2/3 feet = (4 * 3 + 2)/3 = 14/3 feet.Calculate Cherry Tree Height: Step 2: Calculate the height of the cherry tree by multiplying the height of the lemon tree by 3 4/5. 3 4/5 = 19/5 as an improper fraction. Height of cherry tree = (14/3) * (19/5) = 266/15 feet.Convert Back to Mixed Number: Step 3: Convert the result back to a mixed number to find the final height of the cherry tree. 266/15 = 17 11/15 feet.

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Regan planted a lemon tree and a cherry tree. The lemon tree is $4\frac{2}{3}$ feet tall. The cherry tree is $3\frac{4}{5}$ times as tall as the lemon tree. How tall is Regan's cherry tree? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ feet

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Math Problems

Grade 6

Multiply mixed numbers: word problems

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Q. Regan planted a lemon tree and a cherry tree. The lemon tree is

4\frac{2}{3}

feet tall. The cherry tree is

3\frac{4}{5}

times as tall as the lemon tree. How tall is Regan's cherry tree?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

_____ feet

Convert to Improper Fraction: Step $1$ : Convert the height of the lemon tree to an improper fraction for easier multiplication. $\newline$ $4 \frac{2}{3}$ feet = $(4 \times 3 + 2)/3 = \frac{14}{3}$ feet.
Calculate Cherry Tree Height: Step $2$ : Calculate the height of the cherry tree by multiplying the height of the lemon tree by $3 \frac{4}{5}$ . $\newline$ $3 \frac{4}{5} = \frac{19}{5}$ as an improper fraction. $\newline$ Height of cherry tree = $(\frac{14}{3}) \times (\frac{19}{5}) = \frac{266}{15}$ feet.
Convert Back to Mixed Number: Step $3$ : Convert the result back to a mixed number to find the final height of the cherry tree. $\frac{266}{15} = 17 \frac{11}{15}$ feet.