Question

Name each indicated property. If $\frac{t}{4}+\frac{1}{3}=\frac{5}{6}$, then $12\left(\frac{t}{4}+\frac{1}{3}\right)=12\left(\frac{5}{6}\right)$

Name: Problem 21, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2021-08-19T20:07:29-08:00
Duration: 1 min 28 s
Channel: Stephanie Carter
Description: Name each indicated property. If (t)/(4)+(1)/(3)=(5)/(6), then 12((t)/(4)+(1)/(3))=12((5)/(6))

   Name each indicated property. If $\frac{t}{4}+\frac{1}{3}=\frac{5}{6}$, then $12\left(\frac{t}{4}+\frac{1}{3}\right)=12\left(\frac{5}{6}\right)$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 2, Problem 21

Instant Answer

Solved by Expert Stephanie Carter

08/19/2021

Step 1

First, we are given an equation: $\frac{t}{4}+\frac{1}{3}=\frac{5}{6}$. Show more…

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Name each indicated property. If $\frac{t}{4}+\frac{1}{3}=\frac{5}{6}$, then $12\left(\frac{t}{4}+\frac{1}{3}\right)=12\left(\frac{5}{6}\right)$

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Key Concepts

Distributive Property

This property allows one to multiply a single term by each term within a parenthesis, transforming an expression of the form a(b + c) into ab + ac. It is essential for simplifying expressions and solving equations.

Multiplication Property of Equality

This property states that if two expressions are equal, multiplying both sides of the equation by the same nonzero number will yield another true equation. It is commonly used to eliminate fractions or to isolate variables in an equation.

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