Exercise 95 Page &nbsp; 126

a bc=a* c+b/c

- 3 * 9+2/9+8 * 9+7/9

-27+2/9+72+7/9

Add terms

-29/9+79/9

MoveNegFracToNum

Put minus sign in numerator

- 29/9+79/9

AddFrac

Add fractions

-29+79/9

Add terms

50/9

Rewrite 50/9 as 5 59

5 59

b Like in Part A, we will also begin by rewriting the mixed numbers as fractions.

-7 27- 4 15

a bc=a* c+b/c

-7 * 7+2/7-4 * 5+1/5

▼

Simplify

-49+2/7-20+1/5

Add terms

-51/7-21/5

MoveNegNumToFrac

Put minus sign in front of fraction

-51/7-21/5

ExpandFrac

a/b=a * 5/b * 5

-235/35-21/5

ExpandFrac

a/b=a * 7/b * 7

-235/35-147/35

▼

Simplify

SubFrac

Subtract fractions

-235-147/35

SubTerms

Subtract terms

-382/35

MoveNegNumToFrac

Put minus sign in front of fraction

- 382/35

Rewrite - 382/35 as - 11 1735

- 11 1735

c Like in Parts A and B, we will also begin by rewriting the mixed numbers as fractions.

1 57* 3 67

a bc=a* c+b/c

1* 7+5/7* 3* 7+6/7

7+5/7* 21+6/7

Add terms

12/7* 27/7

MultFrac

Multiply fractions

324/49

Rewrite 324/49 as 6 3049

6 3049

d We will evaluate the expression by first rewriting the mixed numbers as fractions.

-8 17÷ (-5 59)

a bc=a* c+b/c

-8 * 7+1/7 ÷ ( -5 * 9+5/9)

-56+1/7 ÷ ( -45+5/9)

▼

Simplify

Add terms

-57/7 ÷ ( -50/9)

DivFracByFracDiv

a/b÷c/d=a/b*d/c

-57/7 * ( -9/50)

MultNegNegOnePar

- a(- b)=a* b

57 * 9/7(50)

513/350