Chapter 1: Q13. (page 3)

Replace each with <, > or = to make a true sentence.
$\frac{7}{20} \cdot \frac{2}{5}$

Short Answer

Expert verified

The true sentence is $\frac{7}{20} < \frac{2}{5}$ .

Step by step solution

Step 1. Take L.C.M of the denominators of each fraction.

$L.C.Mof20and5 = 20$

Step 2. Write all fractions with the same denominator.

To compare the given fractions, first, make the denominator of all fractions equal to L.C.M. by multiplying numerator and denominator with some number.

$\begin{matrix} \frac{7}{20} \cdot \frac{2}{5} = \frac{7}{20} \cdot \frac{2 \times 4}{5 \times 4} \\ = \frac{7}{20} \cdot \frac{8}{20} \end{matrix}$

Step 3. Compare the numerator of both fractions.

Now compare the numerators over the same denominator. The fraction with a larger numerator will be the greater fraction.

$∵ 7 < 8$

Therefore, the true statement is $\frac{7}{20} < \frac{2}{5}$ .

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.
$\frac{7}{20} \cdot \frac{2}{5}$

Short Answer

Step by step solution

Step 1. Take L.C.M of the denominators of each fraction.

Step 2. Write all fractions with the same denominator.

Step 3. Compare the numerator of both fractions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Geometry

Mechanics Maths

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Replace each with <, > or = to make a true sentence.720⋅25

Short Answer

Step by step solution

Step 1. Take L.C.M of the denominators of each fraction.

Step 2. Write all fractions with the same denominator.

Step 3. Compare the numerator of both fractions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Geometry

Mechanics Maths

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Replace each with <, > or = to make a true sentence.
$\frac{7}{20} \cdot \frac{2}{5}$