Chapter 1: Q22. (page 19)

Find the following product.
$- \frac{3}{5} \cdot \frac{5}{6}$

Short Answer

Expert verified

The product is $- \frac{1}{2}$ .

Step by step solution

Step 1. Concept Used.

To multiply two fractions, simply multiply the numerators and denominators of both fractions together and then simplify further by canceling out any common factors.

Step 2. Find the product of given numbers.

First, multiply the numerator and denominator.

Step 3. Evaluate the expression.

Write numerator and denominator in factored form and then cancel out the common factor.

$- \frac{3}{5} \cdot (\frac{5}{6}) = - \frac{15}{30} = - \frac{5 \cdot 3}{5 \cdot 3 \cdot 2} [divideN & Dbycommonfactor 5] = - \frac{\frac{5}{5} \cdot 3}{\frac{5}{5} \cdot 3 \cdot 2} = - \frac{1 \cdot 3}{1 \cdot 3 \cdot 2} [divideN & Dbycommonfactor 3] = - \frac{\frac{3}{3}}{\frac{3}{3} \cdot 2} = - \frac{1}{2}$

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.

Find the following product.
$- \frac{3}{5} \cdot \frac{5}{6}$

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Find the product of given numbers.

Step 3. Evaluate the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Decision Maths

Mechanics Maths

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the following product.-35·56

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Find the product of given numbers.

Step 3. Evaluate the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Decision Maths

Mechanics Maths

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the following product.
$- \frac{3}{5} \cdot \frac{5}{6}$