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Big Ideas Math: Modeling Real Life, Grade 6

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Big Ideas Math: Modeling Real Life, Grade 6 View details

4. Writing Equations in Two Variables

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Exercise 6 Page 270

Rewrite the expression so that all of the numbers are fractions.

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Practice makes perfect

Before we evaluate the expression, let's first rewrite the expression so that all of the numbers are fractions.

7 ÷ 51/4

a bc=a* c+b/c

7 ÷ 5* 4+1/4

Multiply

7 ÷ 20+1/4

Add terms

7 ÷ 21/4

a = 1* a/1

7* 1/1 ÷ 21/4

Multiply

7/1 ÷ 21/4

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.

7/1 ÷ 21/4 =7/1*4/21 When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!

7/1*4/21

Multiply fractions

7* 4/1* 21

Multiply

28/21

a/b=.a / 7./.b / 7.

28/ 7/28/ 7

Calculate quotient

4/3

The quotient is 43. We can also write this fraction as a mixed number.

4/3

Write as a sum

3+1/3

Write as a sum of fractions

3/3+1/3

Calculate quotient

1+1/3

Add terms

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Subchapter links

Try It p.266-268

Self-Assessment for Concepts & Skills p.268

Self-Assessment for Problem Solving p.269

Review & Refresh p.270

Concepts, Skills, & Problem Solving p.270-272