Chapter 1: Q20. (page 19)

Find the following product.
$\frac{11}{3} \cdot \frac{9}{44}$

Short Answer

Expert verified

The product is $\frac{3}{4}$ .

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 cancel out any common factors.

Step 2. Find the product of given numbers.

First, multiply the numerator and denominator.

$\begin{matrix} \frac{11}{3} \cdot \frac{9}{44} = \frac{11 \cdot 9}{3 \cdot 44} \\ = \frac{99}{132} \end{matrix}$

Step 3. Evaluate the expression.

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

$\frac{11}{3} \cdot \frac{9}{44} = \frac{99}{132} = \frac{3 \cdot 3 \cdot 11}{3 \cdot 4 \cdot 11} [divideN & Dbycommonfactor 11] = \frac{3 \cdot 3 . \frac{11}{11}}{3 \cdot 4 \cdot \frac{11}{11}}$

$= \frac{3 \cdot 3 \cdot 1}{3 \cdot 4 \cdot 1} [divideN & Dbycommonfactor 3] = \frac{\frac{3}{3} \cdot 3}{\frac{3}{3} \cdot 4} = \frac{1 \cdot 3}{1 \cdot 4} = \frac{3}{4}$

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Find the following product.
$\frac{11}{3} \cdot \frac{9}{44}$

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Find the product of given numbers.

Step 3. Evaluate the expression.

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Find the following product.113·944

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

Geometry

Decision Maths

Logic and Functions

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the following product.
$\frac{11}{3} \cdot \frac{9}{44}$