Solve Fraction Multiplication Problems - 5th Grade Math
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A tank holds $30$ gallons. It is filled to $\frac{3}{5}$ of its capacity. How many gallons is that?
A tank holds $30$ gallons. It is filled to $\frac{3}{5}$ of its capacity. How many gallons is that?
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$18\text{ gallons}$. $\frac{3}{5} \times 30 = \frac{90}{5} = 18$ gallons.
$18\text{ gallons}$. $\frac{3}{5} \times 30 = \frac{90}{5} = 18$ gallons.
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A trail is $6$ miles. You hike $\frac{3}{4}$ of it. How many miles do you hike?
A trail is $6$ miles. You hike $\frac{3}{4}$ of it. How many miles do you hike?
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$4\frac{1}{2}\text{ miles}$. $\frac{3}{4} \times 6 = \frac{18}{4} = 4\frac{1}{2}$ miles.
$4\frac{1}{2}\text{ miles}$. $\frac{3}{4} \times 6 = \frac{18}{4} = 4\frac{1}{2}$ miles.
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What is $\frac{3}{4}$ of $20$?
What is $\frac{3}{4}$ of $20$?
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$15$. $\frac{3}{4} \times 20 = \frac{60}{4} = 15$.
$15$. $\frac{3}{4} \times 20 = \frac{60}{4} = 15$.
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A board is $2\frac{1}{2}$ m long. You cut off $\frac{3}{5}$ of it. How long is the piece cut off?
A board is $2\frac{1}{2}$ m long. You cut off $\frac{3}{5}$ of it. How long is the piece cut off?
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$1\frac{1}{2}\text{ m}$. $\frac{3}{5} \times \frac{5}{2} = \frac{15}{10} = \frac{3}{2} = 1\frac{1}{2}$ m.
$1\frac{1}{2}\text{ m}$. $\frac{3}{5} \times \frac{5}{2} = \frac{15}{10} = \frac{3}{2} = 1\frac{1}{2}$ m.
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What is $\frac{3}{5}\times\frac{10}{9}$ in simplest form?
What is $\frac{3}{5}\times\frac{10}{9}$ in simplest form?
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$\frac{2}{3}$. Multiply numerators and denominators: $\frac{30}{45} = \frac{2}{3}$.
$\frac{2}{3}$. Multiply numerators and denominators: $\frac{30}{45} = \frac{2}{3}$.
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What is $\frac{5}{6}$ of $18$?
What is $\frac{5}{6}$ of $18$?
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$15$. $\frac{5}{6} \times 18 = \frac{90}{6} = 15$.
$15$. $\frac{5}{6} \times 18 = \frac{90}{6} = 15$.
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What is $\frac{2}{3}$ of $12$?
What is $\frac{2}{3}$ of $12$?
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$8$. $\frac{2}{3} \times 12 = \frac{24}{3} = 8$.
$8$. $\frac{2}{3} \times 12 = \frac{24}{3} = 8$.
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State the first step to multiply a mixed number by a fraction.
State the first step to multiply a mixed number by a fraction.
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Convert the mixed number to an improper fraction. Mixed numbers must be improper fractions before multiplying.
Convert the mixed number to an improper fraction. Mixed numbers must be improper fractions before multiplying.
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State the equation that represents “$ rac{a}{b}$ of $x$” using multiplication.
State the equation that represents “$ rac{a}{b}$ of $x$” using multiplication.
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$\frac{a}{b}\text{ of }x=\frac{a}{b}\times x$. "Of" in fraction problems means multiply.
$\frac{a}{b}\text{ of }x=\frac{a}{b}\times x$. "Of" in fraction problems means multiply.
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Which expression represents “$\frac{3}{4}$ of $2\frac{2}{3}$” as a product?
Which expression represents “$\frac{3}{4}$ of $2\frac{2}{3}$” as a product?
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$\frac{3}{4}\times\frac{8}{3}$. Convert $2\frac{2}{3}$ to $\frac{8}{3}$ before multiplying.
$\frac{3}{4}\times\frac{8}{3}$. Convert $2\frac{2}{3}$ to $\frac{8}{3}$ before multiplying.
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What is $\frac{5}{4}\times\frac{8}{15}$ in simplest form?
What is $\frac{5}{4}\times\frac{8}{15}$ in simplest form?
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$\frac{2}{3}$. Cancel common factors: $\frac{5 \times 8}{4 \times 15} = \frac{40}{60} = \frac{2}{3}$.
$\frac{2}{3}$. Cancel common factors: $\frac{5 \times 8}{4 \times 15} = \frac{40}{60} = \frac{2}{3}$.
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A recipe needs $\frac{3}{4}$ cup sugar. You make $\frac{2}{3}$ of the recipe. How much sugar?
A recipe needs $\frac{3}{4}$ cup sugar. You make $\frac{2}{3}$ of the recipe. How much sugar?
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$\frac{1}{2}\text{ cup}$. $\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$ cup.
$\frac{1}{2}\text{ cup}$. $\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$ cup.
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A ribbon is $12$ ft long. You use $\frac{5}{8}$ of it. How many feet do you use?
A ribbon is $12$ ft long. You use $\frac{5}{8}$ of it. How many feet do you use?
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$7\frac{1}{2}\text{ ft}$. $\frac{5}{8} \times 12 = \frac{60}{8} = 7\frac{1}{2}$ ft.
$7\frac{1}{2}\text{ ft}$. $\frac{5}{8} \times 12 = \frac{60}{8} = 7\frac{1}{2}$ ft.
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What is $\frac{2}{3}$ of $1\frac{1}{2}$?
What is $\frac{2}{3}$ of $1\frac{1}{2}$?
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$1$. $\frac{2}{3} \times \frac{3}{2} = \frac{6}{6} = 1$.
$1$. $\frac{2}{3} \times \frac{3}{2} = \frac{6}{6} = 1$.
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Which equation matches “$\frac{3}{5}$ of $30$ meters”?
Which equation matches “$\frac{3}{5}$ of $30$ meters”?
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$\frac{3}{5} \times 30$. Write "of" as multiplication in the equation.
$\frac{3}{5} \times 30$. Write "of" as multiplication in the equation.
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What is $\frac{5}{8} \times \frac{16}{25}$ in simplest form?
What is $\frac{5}{8} \times \frac{16}{25}$ in simplest form?
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$\frac{2}{5}$. $\frac{5 \times 16}{8 \times 25} = \frac{80}{200} = \frac{2}{5}$.
$\frac{2}{5}$. $\frac{5 \times 16}{8 \times 25} = \frac{80}{200} = \frac{2}{5}$.
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What is the product $\frac{2}{3} \times \frac{9}{10}$ in simplest form?
What is the product $\frac{2}{3} \times \frac{9}{10}$ in simplest form?
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$\frac{3}{5}$. $\frac{2 \times 9}{3 \times 10} = \frac{18}{30} = \frac{3}{5}$.
$\frac{3}{5}$. $\frac{2 \times 9}{3 \times 10} = \frac{18}{30} = \frac{3}{5}$.
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What is $\frac{3}{4}$ of $2$ cups (how many cups)?
What is $\frac{3}{4}$ of $2$ cups (how many cups)?
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$1\frac{1}{2}$ cups. $\frac{3}{4} \times 2 = \frac{6}{4} = 1\frac{1}{2}$.
$1\frac{1}{2}$ cups. $\frac{3}{4} \times 2 = \frac{6}{4} = 1\frac{1}{2}$.
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What is $2\frac{1}{4} \times 4$?
What is $2\frac{1}{4} \times 4$?
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$9$. $\frac{9}{4} \times 4 = \frac{36}{4} = 9$.
$9$. $\frac{9}{4} \times 4 = \frac{36}{4} = 9$.
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What is $1\frac{1}{2} \times 8$?
What is $1\frac{1}{2} \times 8$?
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$12$. $\frac{3}{2} \times 8 = \frac{24}{2} = 12$.
$12$. $\frac{3}{2} \times 8 = \frac{24}{2} = 12$.
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