Place Fractions on Number Lines - 3rd Grade Math
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Find the fraction at the point $2$ steps right of $0$ when the line is partitioned into $3$ equal parts.
Find the fraction at the point $2$ steps right of $0$ when the line is partitioned into $3$ equal parts.
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$\frac{2}{3}$. Two steps right from 0 with step size $\frac{1}{3}$ reaches $\frac{2}{3}$.
$\frac{2}{3}$. Two steps right from 0 with step size $\frac{1}{3}$ reaches $\frac{2}{3}$.
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What does the denominator $b$ tell you to do when placing $\frac{a}{b}$ on a number line?
What does the denominator $b$ tell you to do when placing $\frac{a}{b}$ on a number line?
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Divide the whole into $b$ equal parts of size $\frac{1}{b}$. The denominator determines how many equal parts to create between 0 and 1.
Divide the whole into $b$ equal parts of size $\frac{1}{b}$. The denominator determines how many equal parts to create between 0 and 1.
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Identify the endpoint after marking off $7$ lengths of $\frac{1}{10}$ from $0$ on a number line.
Identify the endpoint after marking off $7$ lengths of $\frac{1}{10}$ from $0$ on a number line.
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$\frac{7}{10}$. Seven steps of $\frac{1}{10}$ each gives $7 \times \frac{1}{10} = \frac{7}{10}$.
$\frac{7}{10}$. Seven steps of $\frac{1}{10}$ each gives $7 \times \frac{1}{10} = \frac{7}{10}$.
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What is the size of one step when a number line is divided into $b$ equal parts?
What is the size of one step when a number line is divided into $b$ equal parts?
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Each step has length $\frac{1}{b}$. When divided into $b$ parts, each part spans $\frac{1}{b}$ of the whole.
Each step has length $\frac{1}{b}$. When divided into $b$ parts, each part spans $\frac{1}{b}$ of the whole.
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What does the numerator $a$ tell you to do when placing $\frac{a}{b}$ on a number line?
What does the numerator $a$ tell you to do when placing $\frac{a}{b}$ on a number line?
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Count $a$ equal steps of size $\frac{1}{b}$ from $0$. The numerator tells you how many of those equal parts to count.
Count $a$ equal steps of size $\frac{1}{b}$ from $0$. The numerator tells you how many of those equal parts to count.
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Identify the missing fraction: $0$, $\frac{1}{4}$, $\frac{2}{4}$, $\underline{\hspace{1cm}}$, $\frac{4}{4}$.
Identify the missing fraction: $0$, $\frac{1}{4}$, $\frac{2}{4}$, $\underline{\hspace{1cm}}$, $\frac{4}{4}$.
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$\frac{3}{4}$. The pattern increases by $\frac{1}{4}$ each time: 0, 1, 2, 3, 4 fourths.
$\frac{3}{4}$. The pattern increases by $\frac{1}{4}$ each time: 0, 1, 2, 3, 4 fourths.
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Identify the endpoint after marking off $5$ lengths of $\frac{1}{8}$ from $0$ on a number line.
Identify the endpoint after marking off $5$ lengths of $\frac{1}{8}$ from $0$ on a number line.
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$\frac{5}{8}$. Five steps of $\frac{1}{8}$ each gives $5 \times \frac{1}{8} = \frac{5}{8}$.
$\frac{5}{8}$. Five steps of $\frac{1}{8}$ each gives $5 \times \frac{1}{8} = \frac{5}{8}$.
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Which point is correct for $\frac{2}{5}$: the endpoint after $2$ steps of $\frac{1}{5}$ or $5$ steps of $\frac{1}{2}$?
Which point is correct for $\frac{2}{5}$: the endpoint after $2$ steps of $\frac{1}{5}$ or $5$ steps of $\frac{1}{2}$?
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The endpoint after $2$ steps of $\frac{1}{5}$. $\frac{2}{5}$ means 2 parts out of 5, not 5 parts out of 2.
The endpoint after $2$ steps of $\frac{1}{5}$. $\frac{2}{5}$ means 2 parts out of 5, not 5 parts out of 2.
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What fraction is located after $a$ equal steps of size $\frac{1}{b}$ from $0$?
What fraction is located after $a$ equal steps of size $\frac{1}{b}$ from $0$?
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$\frac{a}{b}$. Taking $a$ steps of size $\frac{1}{b}$ gives total distance $\frac{a}{b}$.
$\frac{a}{b}$. Taking $a$ steps of size $\frac{1}{b}$ gives total distance $\frac{a}{b}$.
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What fraction is at the point reached by $9$ steps when each step is $\frac{1}{12}$?
What fraction is at the point reached by $9$ steps when each step is $\frac{1}{12}$?
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$\frac{9}{12}$. Nine steps of $\frac{1}{12}$ each equals $\frac{9}{12}$.
$\frac{9}{12}$. Nine steps of $\frac{1}{12}$ each equals $\frac{9}{12}$.
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What fraction is at the point reached by $2$ steps when each step is $\frac{1}{6}$?
What fraction is at the point reached by $2$ steps when each step is $\frac{1}{6}$?
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$\frac{2}{6}$. Two steps of $\frac{1}{6}$ each equals $\frac{2}{6}$.
$\frac{2}{6}$. Two steps of $\frac{1}{6}$ each equals $\frac{2}{6}$.
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Which fraction names the distance from $0$ to the point after $4$ steps of $\frac{1}{5}$?
Which fraction names the distance from $0$ to the point after $4$ steps of $\frac{1}{5}$?
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$\frac{4}{5}$. Four steps of $\frac{1}{5}$ each covers distance $\frac{4}{5}$.
$\frac{4}{5}$. Four steps of $\frac{1}{5}$ each covers distance $\frac{4}{5}$.
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What is the numerator if the point is $\frac{6}{7}$ and each step is $\frac{1}{7}$ from $0$?
What is the numerator if the point is $\frac{6}{7}$ and each step is $\frac{1}{7}$ from $0$?
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$6$. To reach $\frac{6}{7}$ requires 6 steps of size $\frac{1}{7}$.
$6$. To reach $\frac{6}{7}$ requires 6 steps of size $\frac{1}{7}$.
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What is the denominator if each equal step on the number line is $\frac{1}{9}$?
What is the denominator if each equal step on the number line is $\frac{1}{9}$?
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$9$. Step size $\frac{1}{9}$ means the whole is divided into 9 parts.
$9$. Step size $\frac{1}{9}$ means the whole is divided into 9 parts.
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Identify the fraction at the tick mark that is the $8$th step when each step is $\frac{1}{8}$.
Identify the fraction at the tick mark that is the $8$th step when each step is $\frac{1}{8}$.
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$\frac{8}{8}$. Eight steps of $\frac{1}{8}$ reaches $\frac{8}{8} = 1$.
$\frac{8}{8}$. Eight steps of $\frac{1}{8}$ reaches $\frac{8}{8} = 1$.
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