Envision Math 2.0: Grade 7, Volume 1
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Envision Math 2.0: Grade 7, Volume 1 View details
9. Divide Rational Numbers
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Exercise 19 Page 62

Write the mixed numbers as fractions.

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Practice makes perfect
When dividing real numbers, the quotient of an integer a by an integer b is always positive if those integers have the same sign. cc Same Sign & Different Signs (+)/(+)=(+) & (+)/(-)=(-) (-)/(-)=(+) & (-)/(+)=(-) In our case one number is positive and one number is negative, so the quotient will be negative. Before evaluate the expression, will rewrite the mixed numbers as fractions.
- 2 18 Ă· 6 45
- 2* 8 +1/8 Ă· 6* 5 +4/5
- 16+1/8 Ă· 30 +4/5
- 17/8 Ă· 34/5
Now that we have the fractions, we can evaluate the division. Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. - 17/8 Ă· 34/5= - 17/8 * 5/34 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!
- 17/8 * 5/34
- 17* 5/8* 34
- 85/272
- 85/ 17/272/ 17
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