Understand Ratio Concept and Language - 6th Grade Math
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Choose the correct ratio: $10$ blue tiles and $6$ green tiles; blue to green.
Choose the correct ratio: $10$ blue tiles and $6$ green tiles; blue to green.
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$5:3$. Simplify $10:6$ by dividing both by $2$.
$5:3$. Simplify $10:6$ by dividing both by $2$.
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What does “Candidate C received nearly three votes for every vote Candidate A received” mean as a ratio $C:A$?
What does “Candidate C received nearly three votes for every vote Candidate A received” mean as a ratio $C:A$?
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$3:1$ (approximately). "Nearly three" means approximately $3$ to $1$.
$3:1$ (approximately). "Nearly three" means approximately $3$ to $1$.
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What is the ratio of shaded to unshaded squares if $6$ are shaded and $14$ are unshaded, in simplest form?
What is the ratio of shaded to unshaded squares if $6$ are shaded and $14$ are unshaded, in simplest form?
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$3:7$. Simplify $6:14$ by dividing both by $2$.
$3:7$. Simplify $6:14$ by dividing both by $2$.
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What is the unit rate meaning of the ratio $\frac{12 \text{miles}}{3 \text{hours}}$?
What is the unit rate meaning of the ratio $\frac{12 \text{miles}}{3 \text{hours}}$?
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$4$ miles per $1$ hour. Divide to find the rate: $12 \div 3 = 4$ miles per hour.
$4$ miles per $1$ hour. Divide to find the rate: $12 \div 3 = 4$ miles per hour.
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What ratio (in simplest form) represents $15$ girls to $20$ boys?
What ratio (in simplest form) represents $15$ girls to $20$ boys?
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$3:4$. Divide both by their GCD: $15÷5=3$, $20÷5=4$.
$3:4$. Divide both by their GCD: $15÷5=3$, $20÷5=4$.
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What ratio (in simplest form) represents $12$ red marbles to $8$ blue marbles?
What ratio (in simplest form) represents $12$ red marbles to $8$ blue marbles?
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$3:2$. Divide both by their GCD: $12÷4=3$, $8÷4=2$.
$3:2$. Divide both by their GCD: $12÷4=3$, $8÷4=2$.
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Which order matches “the ratio of cats to dogs” if there are $4$ cats and $7$ dogs?
Which order matches “the ratio of cats to dogs” if there are $4$ cats and $7$ dogs?
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$4:7$. Order matters: first quantity comes first in the ratio.
$4:7$. Order matters: first quantity comes first in the ratio.
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What does the ratio $3:5$ mean using “for every” ratio language?
What does the ratio $3:5$ mean using “for every” ratio language?
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For every $3$ of the first quantity, there are $5$ of the second. Ratio language describes the relationship between quantities.
For every $3$ of the first quantity, there are $5$ of the second. Ratio language describes the relationship between quantities.
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What are three common ways to write the ratio of $a$ to $b$?
What are three common ways to write the ratio of $a$ to $b$?
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$a:b$, $a$ to $b$, and $\frac{a}{b}$. These are the three standard ratio notations.
$a:b$, $a$ to $b$, and $\frac{a}{b}$. These are the three standard ratio notations.
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What is a ratio, in words, comparing two quantities?
What is a ratio, in words, comparing two quantities?
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A comparison of two quantities by division. Ratios show how quantities relate through division.
A comparison of two quantities by division. Ratios show how quantities relate through division.
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Identify the error: Writing “ratio of dogs to cats” as $\frac{\text{cats}}{\text{dogs}}$.
Identify the error: Writing “ratio of dogs to cats” as $\frac{\text{cats}}{\text{dogs}}$.
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The order is reversed; it should be $\frac{\text{dogs}}{\text{cats}}$. Ratio order must match the stated comparison.
The order is reversed; it should be $\frac{\text{dogs}}{\text{cats}}$. Ratio order must match the stated comparison.
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What is the ratio of $24$ minutes to $2$ hours in simplest form?
What is the ratio of $24$ minutes to $2$ hours in simplest form?
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$1:5$. Simplify $24:120$ by dividing both by $24$.
$1:5$. Simplify $24:120$ by dividing both by $24$.
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What is the ratio of $24$ minutes to $2$ hours when both are in minutes?
What is the ratio of $24$ minutes to $2$ hours when both are in minutes?
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$24:120$. Convert $2$ hours to $120$ minutes first.
$24:120$. Convert $2$ hours to $120$ minutes first.
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Find the missing number: The ratio $9:y$ is equivalent to $3:5$.
Find the missing number: The ratio $9:y$ is equivalent to $3:5$.
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$y=15$. Cross multiply: $3y = 45$, so $y = 15$.
$y=15$. Cross multiply: $3y = 45$, so $y = 15$.
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Find the missing number: The ratio $x:6$ is equivalent to $4:3$.
Find the missing number: The ratio $x:6$ is equivalent to $4:3$.
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$x=8$. Cross multiply: $3x = 24$, so $x = 8$.
$x=8$. Cross multiply: $3x = 24$, so $x = 8$.
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Which statement correctly matches the ratio $5:2$?
Which statement correctly matches the ratio $5:2$?
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For every $5$ of the first quantity, there are $2$ of the second. This describes the multiplicative relationship.
For every $5$ of the first quantity, there are $2$ of the second. This describes the multiplicative relationship.
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What is the ratio of beaks to wings if there are $18$ wings and $9$ beaks?
What is the ratio of beaks to wings if there are $18$ wings and $9$ beaks?
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$1:2$. Reverse the order: beaks first, then wings.
$1:2$. Reverse the order: beaks first, then wings.
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Identify the ratio of wings to beaks if there are $18$ wings and $9$ beaks.
Identify the ratio of wings to beaks if there are $18$ wings and $9$ beaks.
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$2:1$. Simplify $18:9$ by dividing both by $9$.
$2:1$. Simplify $18:9$ by dividing both by $9$.
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What does the ratio $2:1$ mean using “for every” language?
What does the ratio $2:1$ mean using “for every” language?
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For every $2$ of the first quantity, there is $1$ of the second. The first quantity appears twice for each second quantity.
For every $2$ of the first quantity, there is $1$ of the second. The first quantity appears twice for each second quantity.
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What is the ratio of $7$ triangles to $21$ circles written as $\text{triangles:circles}$ in simplest form?
What is the ratio of $7$ triangles to $21$ circles written as $\text{triangles:circles}$ in simplest form?
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$1:3$. Divide both by GCF of 7: $\frac{7}{7}:\frac{21}{7} = 1:3$.
$1:3$. Divide both by GCF of 7: $\frac{7}{7}:\frac{21}{7} = 1:3$.
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What is the ratio of $\frac{3}{4}$ cup to $\frac{1}{2}$ cup in simplest form?
What is the ratio of $\frac{3}{4}$ cup to $\frac{1}{2}$ cup in simplest form?
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$3:2$. Convert to common denominator: $\frac{3}{4}:\frac{2}{4} = 3:2$.
$3:2$. Convert to common denominator: $\frac{3}{4}:\frac{2}{4} = 3:2$.
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What is the ratio of $0.6$ liters to $1.5$ liters in simplest form?
What is the ratio of $0.6$ liters to $1.5$ liters in simplest form?
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$2:5$. Multiply by 10 to get $6:15$, then divide by 3.
$2:5$. Multiply by 10 to get $6:15$, then divide by 3.
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What is the ratio of $3$ feet to $18$ inches after converting to the same unit?
What is the ratio of $3$ feet to $18$ inches after converting to the same unit?
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$2:1$. Convert feet to inches: $36:18$, then simplify by 18.
$2:1$. Convert feet to inches: $36:18$, then simplify by 18.
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What is the ratio $18$ meters to $24$ meters written as a fraction in simplest form?
What is the ratio $18$ meters to $24$ meters written as a fraction in simplest form?
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$\frac{3}{4}$. Simplify by dividing both by GCF of 6: $\frac{18÷6}{24÷6} = \frac{3}{4}$.
$\frac{3}{4}$. Simplify by dividing both by GCF of 6: $\frac{18÷6}{24÷6} = \frac{3}{4}$.
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What is the ratio $4:6$ written as a fraction in simplest form?
What is the ratio $4:6$ written as a fraction in simplest form?
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$\frac{2}{3}$. Write as fraction and simplify by dividing by 2.
$\frac{2}{3}$. Write as fraction and simplify by dividing by 2.
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