Chapter 5: Q10. (page 220)

Use the LCD to determine which fraction is greater.
$\frac{3}{4}, \frac{7}{9}$

Short Answer

Expert verified

The fraction $\frac{7}{9}$ is greater than fraction $\frac{3}{4}$ .

Step by step solution

Step 1. Given information

Consider, the fraction $\frac{3}{4}, \frac{7}{9}$ provided in the question.

Step 2. Calculation

To evaluate the greater fraction in $\frac{3}{4}, \frac{7}{9}$ , it is needed to calculate the least common multiple of $4, 9$

Therefore, the least common multiple of $4, 9$ is $36$ and this will be least common denominator of fraction $\frac{3}{4}, \frac{7}{9}$

Make equivalent fraction of each fraction by least common denominator

$\begin{array}{l} \frac{3}{4} = \frac{3 \times 9}{4 \times 9}; \frac{7}{9} = \frac{7 \times 4}{9 \times 4} \\ \frac{3}{4} = \frac{27}{36} ; \frac{7}{9} = \frac{28}{36} \end{array}$

As the equivalent fractional of $\frac{3}{4}, \frac{7}{9}$ have same denominator so compare the numerator

$28 > 27$

$\frac{7}{9} > \frac{3}{4}$

Hence,

The fraction $\frac{7}{9}$ is greater than fraction $\frac{3}{4}$

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Use the LCD to determine which fraction is greater.
$\frac{3}{4}, \frac{7}{9}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

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Use the LCD to determine which fraction is greater. 34,79

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Use the LCD to determine which fraction is greater.
$\frac{3}{4}, \frac{7}{9}$