Chapter 1: Q24. (page 19)

Find the following product.
$\frac{2}{7} \cdot 4 \frac{2}{3}$

Short Answer

Expert verified

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

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, simplify the mixed fraction into an improper fraction and then simplify the product.

$4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{14}{3} (\frac{2}{7}) \cdot (4 \frac{2}{3}) = (\frac{2}{7} \cdot \frac{14}{3}) = \frac{28}{21}$

Step 3. Evaluate the expression.

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

$\frac{2}{7} \cdot (4 \frac{2}{3}) = \frac{28}{21} = \frac{2 \cdot 2 \cdot 7}{3 \cdot 7} [divide N & D by common factor 7] = \frac{2 \cdot 2 \cdot \frac{7}{7}}{3 \cdot \frac{7}{7}} = \frac{2 \cdot 2}{3} = \frac{4}{3}$

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Find the following product.
$\frac{2}{7} \cdot 4 \frac{2}{3}$

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.27·423

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

Geometry

Applied Mathematics

Decision Maths

Mechanics Maths

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the following product.
$\frac{2}{7} \cdot 4 \frac{2}{3}$