Chapter 1: Q6. (page 16)

Replace each • with <, >, or = to make a true sentence.
$- \frac{7}{11} \cdot - \frac{2}{3}$

Short Answer

Expert verified

The true sentence is $- \frac{7}{11} > - \frac{2}{3}$ .

Step by step solution

Step 1. Convert the fractions into a decimal.

We can find that $- \frac{7}{11} = - 0.636363 . . . .$ .

And $- \frac{2}{3} = - 0.666666 . . . .$

Step 2. Compare the decimals.

We will compare - 0.636363… and – 0.666666…

We know that, - 0.636363 > – 0.666666…

Step 3. Replace decimals with original fractions.

We replace – 0.636363 with $- \frac{7}{11}$ .

And we replace – 0.666666…... with $- \frac{2}{3}$ .

Thus we get: $- \frac{7}{11} > - \frac{2}{3}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Replace each • with <, >, or = to make a true sentence.
$- \frac{7}{11} \cdot - \frac{2}{3}$

Short Answer

Step by step solution

Step 1. Convert the fractions into a decimal.

Step 2. Compare the decimals.

Step 3. Replace decimals with original fractions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Statistics

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Replace each • with <, >, or = to make a true sentence.-711·-23

Short Answer

Step by step solution

Step 1. Convert the fractions into a decimal.

Step 2. Compare the decimals.

Step 3. Replace decimals with original fractions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Statistics

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Replace each • with <, >, or = to make a true sentence.
$- \frac{7}{11} \cdot - \frac{2}{3}$