Chapter 7: Q12. (page 243)

Express the ratio in simplest form.
$I T : D S$

Short Answer

Expert verified

The simplest form of $I T : D S = 8 : 7$

Step by step solution

Step 1. Given information.

According to the given figure is,

$\begin{matrix} I T = I S + S T \\ = 4 + 12 = 16 \\ D S = D I + I S \\ = 10 + 4 \\ = 14 \end{matrix}$

Write the ratio,

$\begin{array}{l} I T : D S = 16 : 14 \\ \frac{I T}{D S} = \frac{16}{14} \end{array}$

Step 2. Concept Used.

To write the fraction in simplest form, divide the numerator and denominator with the GCF (Greatest Common Factor).

Step 3. Now find the GCF.

Write the prime factors of numerator and denominator.

$\begin{array}{l} 16 = 2 \times 2 \times 2 \times 2 \\ 14 = 2 \times 7 \end{array}$

Here GCF is2

Step 4. Let’s divide the numerator and denominator with the GCF.

Here we will divide the numerator and denominator by.2

$\frac{16}{14} = \frac{16 / 2}{14 / 2} = \frac{8}{7}$

Therefore, the simplest form of the given ratio is $I T : D S = 8 : 7$ .

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Express the ratio in simplest form.
$I T : D S$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Now find the GCF.

Step 4. Let’s divide the numerator and denominator with the GCF.

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Express the ratio in simplest form.IT:DS

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Now find the GCF.

Step 4. Let’s divide the numerator and denominator with the GCF.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Express the ratio in simplest form.
$I T : D S$