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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 7: Q14. (page 243)

What is the ratio of 750 mL to 1.5 L?

Short Answer

Expert verified

The simplest form of $\frac{750 m L}{1.5 L} = \frac{1}{2}$

Step by step solution

01

Step 1. Given information.

It is given that $750 m L & 1.5 L$

Since,

$1 L = 1000 m L$

Therefore,

$\begin{matrix} 1.5 L = 1.5 \times 1000 m L \\ = 1500 m L \end{matrix}$

02

Step 2. Concept Used.

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

03

Step 3. Now find the GCF.

Write the prime factors of numerator and denominator.

$\begin{array}{l} 750 = 2 \times 3 \times 5 \times 5 \times 5 \\ 1500 = 2 \times 2 \times 3 \times 5 \times 5 \times 5 \end{array}$

Here GCF is $2 \times 3 \times 5 \times 5 \times 5 = 750$ .

04

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

Here we will divide the numerator and denominator by $2 \times 3 \times 5 \times 5 \times 5 = 750$ $\frac{750}{1500} = \frac{750 / 750}{1500 / 750} = \frac{1}{2}$ .

Therefore, the simplest form of the given ratio is $\frac{1}{2}$ .

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Most popular questions from this chapter

Find the value of x.

$\frac{3 x + 5}{3} = \frac{18 x + 5}{7}$

For the figure shown, it is given that $\frac{K R}{R T} = \frac{K S}{S U}$ . Copy and complete the table.

Find the value of x.

$\frac{x + 3}{2} = \frac{2 x - 1}{3}$

Find the value of x.

$\frac{x + 2}{x + 3} = \frac{4}{5}$

Write the algebraic ratio in simplest form.

$\frac{3 a}{4 a b}$

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