Solve. (2)/(n)=(7)/(21)

Name: Problem 19, Chapter 7: Prealgebra
Uploaded: 2020-04-28T19:27:13-08:00
Duration: 13 s
Channel: Ali Soave
Description: Solve. (2)/(n)=(7)/(21)

step 1 To solve for n, we can cross multiply. 7 times n is 7n. 2 times 21 is 42. Divide both sides by 7

Question

Solve. $$\frac{2}{n}=\frac{7}{21}$$

   Solve.
$$\frac{2}{n}=\frac{7}{21}$$

Prealgebra

Tom Carson 4th Edition

Chapter 7, Problem 19

Instant Answer

Solved by Expert Ali Soave

04/28/2020

Step 1

This means multiplying the numerator of the first fraction by the denominator of the second, and the denominator of the first by the numerator of the second. This gives us: $$2 \times 21 = n \times 7$$ Show more…

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Solve. $$\frac{2}{n}=\frac{7}{21}$$

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Key Concepts

Proportions

A proportion is an equation that states that two ratios are equal. In solving proportions, one works with equivalent fractions to find an unknown value. This concept is fundamental in algebra and underpins many real-world applications involving scale and direct relationships.

Simplification of Fractions

Simplifying fractions involves reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This process helps in making calculations easier and the results clearer, especially when comparing or equating fractions.

Cross Multiplication

Cross multiplication is a technique used to solve equations involving fractions. By multiplying the numerator of one fraction by the denominator of the other and setting the products equal, one can eliminate the denominators and solve for the unknown variable efficiently.

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