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Envision Math 2.0: Grade 6, Volume 1

EM

Envision Math 2.0: Grade 6, Volume 1 View details

5. Write and Solve Equations with Rational Numbers

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Exercise 6 Page 205

Use the Addition Property of Equality to isolate t on the left-hand side of the equation.

t=317/12 or t=26 512

Practice makes perfect

To solve the equation, we can start by rewriting the mixed number as fraction.

t-2/3=25 34

a bc=a* c+b/c

t-2/3=25 * 4+3/4

Multiply

t-2/3=100+3/4

Add terms

t-2/3=103/4

Now, we can isolate t on one side. Let's use the Addition Property of Equality and add 23 to both sides of the equation. Let's do this!

t-2/3=103/4

LHS+ 2/3=RHS+ 2/3

t-2/3+ 2/3=103/4+ 2/3

Add fractions

t=103/4+2/3

a/b=a * 3/b * 3

t=103 * 3/4 * 3+2/3

a/b=a * 4/b * 4

t=103 * 3/4 * 3+2 * 4/3 * 4

Multiply

t=309/12+8/12

Add fractions

t=309+8/12

Add terms

t=317/12

The value of t is 31712. We can also rewrite this answer as a mixed number.

t=317/12

Rewrite 317 as 312+5

t=312+5/12

Write as a sum of fractions

t=312/12+5/12

Calculate quotient

t=26+5/12

Add terms

t=26 512

Subchapter links

Do You Understand? p.205

Do You Know How? p.205

Assessment Practice p.208