Ratio Worksheets | Grade1to6.com - Free Printable

Let's solve each of these ratio problems step by step. The goal is to simplify the given ratios into their simplest form (i.e., reduce them to lowest terms).

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🔍 How to find a simplified ratio:

To simplify a ratio like "X out of Y", we write it as:

$$
\frac{X}{Y}
$$

Then, divide both numbers by their greatest common divisor (GCD) to get the simplest form.

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Now, let’s go through each problem:

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#### a. 5 cats out of 20 is = ?

$$
\frac{5}{20} = \frac{1}{4} \quad \Rightarrow \boxed{1 : 4}
$$

✔ Already given as correct.

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#### b. 8 dogs out of 36 is = ?

$$
\frac{8}{36} = \frac{8 ÷ 4}{36 ÷ 4} = \frac{2}{9} \quad \Rightarrow \boxed{2 : 9}
$$

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#### c. 9 fish out of 90 is = ?

$$
\frac{9}{90} = \frac{9 ÷ 9}{90 ÷ 9} = \frac{1}{10} \quad \Rightarrow \boxed{1 : 10}
$$

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#### d. 12 books out of 48 is = ?

$$
\frac{12}{48} = \frac{12 ÷ 12}{48 ÷ 12} = \frac{1}{4} \quad \Rightarrow \boxed{1 : 4}
$$

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#### e. 14 pencils out of 28 is = ?

$$
\frac{14}{28} = \frac{14 ÷ 14}{28 ÷ 14} = \frac{1}{2} \quad \Rightarrow \boxed{1 : 2}
$$

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#### f. 3 pens out of 36 is = ?

$$
\frac{3}{36} = \frac{3 ÷ 3}{36 ÷ 3} = \frac{1}{12} \quad \Rightarrow \boxed{1 : 12}
$$

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#### g. 4 erasers out of 52 is = ?

$$
\frac{4}{52} = \frac{4 ÷ 4}{52 ÷ 4} = \frac{1}{13} \quad \Rightarrow \boxed{1 : 13}
$$

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#### h. 5 tables out of 50 is = ?

$$
\frac{5}{50} = \frac{5 ÷ 5}{50 ÷ 5} = \frac{1}{10} \quad \Rightarrow \boxed{1 : 10}
$$

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#### i. 6 shirts out of 60 is = ?

$$
\frac{6}{60} = \frac{6 ÷ 6}{60 ÷ 6} = \frac{1}{10} \quad \Rightarrow \boxed{1 : 10}
$$

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#### j. 7 socks out of 70 is = ?

$$
\frac{7}{70} = \frac{7 ÷ 7}{70 ÷ 7} = \frac{1}{10} \quad \Rightarrow \boxed{1 : 10}
$$

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#### k. 9 phones out of 90 is = ?

$$
\frac{9}{90} = \frac{9 ÷ 9}{90 ÷ 9} = \frac{1}{10} \quad \Rightarrow \boxed{1 : 10}
$$

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#### l. 12 short shirts out of 24 is = ?

$$
\frac{12}{24} = \frac{12 ÷ 12}{24 ÷ 12} = \frac{1}{2} \quad \Rightarrow \boxed{1 : 2}
$$

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#### m. 15 tees out of 45 is = ?

$$
\frac{15}{45} = \frac{15 ÷ 15}{45 ÷ 15} = \frac{1}{3} \quad \Rightarrow \boxed{1 : 3}
$$

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#### n. 17 glasses out of 34 is = ?

$$
\frac{17}{34} = \frac{17 ÷ 17}{34 ÷ 17} = \frac{1}{2} \quad \Rightarrow \boxed{1 : 2}
$$

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✔ Final Answers:

| Problem | Ratio |
|--------|-------|
| a. | 1 : 4 |
| b. | 2 : 9 |
| c. | 1 : 10 |
| d. | 1 : 4 |
| e. | 1 : 2 |
| f. | 1 : 12 |
| g. | 1 : 13 |
| h. | 1 : 10 |
| i. | 1 : 10 |
| j. | 1 : 10 |
| k. | 1 : 10 |
| l. | 1 : 2 |
| m. | 1 : 3 |
| n. | 1 : 2 |

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📌 Summary:

We simplified each ratio by dividing both numbers by their greatest common factor. This gives us the simplest form of the ratio, which is what is asked in practical situations.

Let me know if you'd like this explained with visual models or real-life examples! 😊