Find Area With Fractional Sides - 5th Grade Math
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What is the area of a $\frac{3}{4}$ by $\frac{2}{3}$ rectangle (in square units)?
What is the area of a $\frac{3}{4}$ by $\frac{2}{3}$ rectangle (in square units)?
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$\frac{1}{2}$ square unit. Multiply: $\frac{3}{4} \times \frac{2}{3} = \frac{6}{12} = \frac{1}{2}$.
$\frac{1}{2}$ square unit. Multiply: $\frac{3}{4} \times \frac{2}{3} = \frac{6}{12} = \frac{1}{2}$.
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What is the area of a rectangle with side lengths $\frac{9}{10}$ and $\frac{5}{6}$?
What is the area of a rectangle with side lengths $\frac{9}{10}$ and $\frac{5}{6}$?
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$\frac{3}{4}$. Multiply: $\frac{9}{10} \times \frac{5}{6} = \frac{45}{60} = \frac{3}{4}$.
$\frac{3}{4}$. Multiply: $\frac{9}{10} \times \frac{5}{6} = \frac{45}{60} = \frac{3}{4}$.
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How many $\frac{1}{5}$-wide columns fit across a length of $\frac{3}{5}$?
How many $\frac{1}{5}$-wide columns fit across a length of $\frac{3}{5}$?
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$3$ columns. $\frac{3}{5} \div \frac{1}{5} = 3$ columns fit exactly.
$3$ columns. $\frac{3}{5} \div \frac{1}{5} = 3$ columns fit exactly.
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What is the area of a rectangle with side lengths $\frac{2}{3}$ and $\frac{3}{8}$?
What is the area of a rectangle with side lengths $\frac{2}{3}$ and $\frac{3}{8}$?
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$\frac{1}{4}$. Multiply: $\frac{2}{3} \times \frac{3}{8} = \frac{6}{24} = \frac{1}{4}$.
$\frac{1}{4}$. Multiply: $\frac{2}{3} \times \frac{3}{8} = \frac{6}{24} = \frac{1}{4}$.
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Compute $\frac{3}{5} \times \frac{4}{7}$ to match the tiled area model.
Compute $\frac{3}{5} \times \frac{4}{7}$ to match the tiled area model.
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$\frac{12}{35}$. Multiply numerators and denominators: $\frac{3 \times 4}{5 \times 7}$.
$\frac{12}{35}$. Multiply numerators and denominators: $\frac{3 \times 4}{5 \times 7}$.
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What is the area of one tile that is $\frac{1}{5}$ by $\frac{1}{7}$?
What is the area of one tile that is $\frac{1}{5}$ by $\frac{1}{7}$?
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$\frac{1}{35}$. Multiply tile dimensions: $\frac{1}{5} \times \frac{1}{7} = \frac{1}{35}$.
$\frac{1}{35}$. Multiply tile dimensions: $\frac{1}{5} \times \frac{1}{7} = \frac{1}{35}$.
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How many $\frac{1}{7}$-tall rows fit up a height of $\frac{4}{7}$?
How many $\frac{1}{7}$-tall rows fit up a height of $\frac{4}{7}$?
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$4$ rows. $\frac{4}{7} \div \frac{1}{7} = 4$ rows fit exactly.
$4$ rows. $\frac{4}{7} \div \frac{1}{7} = 4$ rows fit exactly.
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How many tiles are in an array with $3$ columns and $4$ rows?
How many tiles are in an array with $3$ columns and $4$ rows?
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$12$ tiles. Total tiles = rows × columns = $4 \times 3 = 12$.
$12$ tiles. Total tiles = rows × columns = $4 \times 3 = 12$.
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Find the missing side length if $A=\frac{3}{10}$ and one side is $\frac{3}{4}$.
Find the missing side length if $A=\frac{3}{10}$ and one side is $\frac{3}{4}$.
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$\frac{2}{5}$. Solve: $\frac{3}{4} \times ? = \frac{3}{10}$, so $? = \frac{3}{10} \div \frac{3}{4} = \frac{2}{5}$.
$\frac{2}{5}$. Solve: $\frac{3}{4} \times ? = \frac{3}{10}$, so $? = \frac{3}{10} \div \frac{3}{4} = \frac{2}{5}$.
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What is the area of a rectangle with side lengths $1\frac{1}{2}$ and $\frac{2}{3}$?
What is the area of a rectangle with side lengths $1\frac{1}{2}$ and $\frac{2}{3}$?
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$1$. Convert: $1\frac{1}{2} = \frac{3}{2}$, then $\frac{3}{2} \times \frac{2}{3} = 1$.
$1$. Convert: $1\frac{1}{2} = \frac{3}{2}$, then $\frac{3}{2} \times \frac{2}{3} = 1$.
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What is the area of a rectangle with side lengths $\frac{5}{6}$ and $\frac{3}{10}$?
What is the area of a rectangle with side lengths $\frac{5}{6}$ and $\frac{3}{10}$?
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$\frac{1}{4}$. Multiply: $\frac{5}{6} \times \frac{3}{10} = \frac{15}{60} = \frac{1}{4}$.
$\frac{1}{4}$. Multiply: $\frac{5}{6} \times \frac{3}{10} = \frac{15}{60} = \frac{1}{4}$.
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What is the area of a rectangle with side lengths $\frac{7}{8}$ and $\frac{3}{4}$?
What is the area of a rectangle with side lengths $\frac{7}{8}$ and $\frac{3}{4}$?
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$\frac{21}{32}$. Multiply: $\frac{7}{8} \times \frac{3}{4} = \frac{21}{32}$.
$\frac{21}{32}$. Multiply: $\frac{7}{8} \times \frac{3}{4} = \frac{21}{32}$.
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What is the area of a rectangle with side lengths $\frac{3}{4}$ and $\frac{2}{5}$?
What is the area of a rectangle with side lengths $\frac{3}{4}$ and $\frac{2}{5}$?
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$\frac{3}{10}$. Multiply: $\frac{3}{4} \times \frac{2}{5} = \frac{6}{20} = \frac{3}{10}$.
$\frac{3}{10}$. Multiply: $\frac{3}{4} \times \frac{2}{5} = \frac{6}{20} = \frac{3}{10}$.
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State the area formula for a rectangle with side lengths $a$ and $b$.
State the area formula for a rectangle with side lengths $a$ and $b$.
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$A = a \times b$. Area equals length times width for any rectangle.
$A = a \times b$. Area equals length times width for any rectangle.
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What is the area of a rectangle with side lengths $2\frac{1}{4}$ and $\frac{4}{9}$?
What is the area of a rectangle with side lengths $2\frac{1}{4}$ and $\frac{4}{9}$?
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$1$. Convert: $2\frac{1}{4} = \frac{9}{4}$, then $\frac{9}{4} \times \frac{4}{9} = 1$.
$1$. Convert: $2\frac{1}{4} = \frac{9}{4}$, then $\frac{9}{4} \times \frac{4}{9} = 1$.
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Identify the unit fraction side length of each tile to model $\frac{3}{5} \times \frac{4}{7}$.
Identify the unit fraction side length of each tile to model $\frac{3}{5} \times \frac{4}{7}$.
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$\frac{1}{5}$ by $\frac{1}{7}$. Use denominators of each fraction as tile dimensions.
$\frac{1}{5}$ by $\frac{1}{7}$. Use denominators of each fraction as tile dimensions.
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State the multiplication rule for fractions used to find rectangle area with fractional sides.
State the multiplication rule for fractions used to find rectangle area with fractional sides.
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$\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}$. Multiply numerators together and denominators together.
$\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}$. Multiply numerators together and denominators together.
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What is the area of a rectangle with side lengths $\frac{11}{12}$ and $\frac{3}{11}$?
What is the area of a rectangle with side lengths $\frac{11}{12}$ and $\frac{3}{11}$?
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$\frac{1}{4}$. Multiply: $\frac{11}{12} \times \frac{3}{11} = \frac{33}{132} = \frac{1}{4}$.
$\frac{1}{4}$. Multiply: $\frac{11}{12} \times \frac{3}{11} = \frac{33}{132} = \frac{1}{4}$.
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What is the area of a rectangle with side lengths $\frac{5}{12}$ and $\frac{6}{7}$?
What is the area of a rectangle with side lengths $\frac{5}{12}$ and $\frac{6}{7}$?
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$\frac{5}{14}$. Multiply: $\frac{5}{12} \times \frac{6}{7} = \frac{30}{84} = \frac{5}{14}$.
$\frac{5}{14}$. Multiply: $\frac{5}{12} \times \frac{6}{7} = \frac{30}{84} = \frac{5}{14}$.
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What is the area of a rectangle with side lengths $\frac{4}{9}$ and $\frac{3}{5}$?
What is the area of a rectangle with side lengths $\frac{4}{9}$ and $\frac{3}{5}$?
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$\frac{4}{15}$. Multiply: $\frac{4}{9} \times \frac{3}{5} = \frac{12}{45} = \frac{4}{15}$.
$\frac{4}{15}$. Multiply: $\frac{4}{9} \times \frac{3}{5} = \frac{12}{45} = \frac{4}{15}$.
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