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Envision Math 2.0: Grade 6, Volume 1

EM

Envision Math 2.0: Grade 6, Volume 1 View details

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Exercise 13 Page 175

Substitute 56 for y in the expression.

55/12 or 4 712

Practice makes perfect

We will start by rewriting the mixed numbers as fractions.

3 34+y

a bc=a* c+b/c

3 * 4+3/4+y

Multiply

12+3/4+y

Add terms

15/4+y

We simplified the mixed number, and now we can evaluate the given expression for y= 56. To do this, we substitute 56 for y in the given expression and then simplify.

15/4+y

y= 5/6

15/4+ 5/6

a/b=a * 3/b * 3

15 * 3/4 * 3+5/6

a/b=a * 2/b * 2

15 * 3/4 * 3+5 * 2/6 * 2

Multiply

45/12+10/12

Add fractions

45+10/12

Add terms

55/12

The expression equals 5512. We can rewrite the final result as a mixed number.

55/12

Rewrite 55 as 48+7

48+7/12

Write as a sum of fractions

48/12+7/12

Calculate quotient

4+7/12

Add terms

4 712

Subchapter links

Review What You Know! p.175