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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 7 Page 205

Use the Multiplication Property of Equality to eliminate the division.

f = 5/4 or f=1 14

Practice makes perfect

To solve the equation, we have to isolate f on one side. Let's use the Multiplication Property of Equality and multiply both sides of the equation by 2. This will eliminate the denominator of the fraction and isolate f on the left-hand side.

f/2=5/8

LHS * 2=RHS* 2

f/2 * 2 = 5/8 * 2

FracMultDenomToNumber

a/2* 2 = a

f = 5/8 * 2

MoveRightFacToNum

a/c* b = a* b/c

f = 5 * 2/8

Multiply

f = 10/8

a/b=.a /2./.b /2.

f = 10/2/8/2

Calculate quotient

f = 5/4

The value of f is equal to 54. We can also rewrite this answer as mixed number.

f = 5/4

Rewrite 5 as 4+1

f=4+1/4

Write as a sum of fractions

f=4/4+1/4

Calculate quotient

f=1+1/4

Add terms

f=1 14

Subchapter links

Do You Understand? p.205

Do You Know How? p.205

Assessment Practice p.208