Exercise 37 Page 451

We want to simplify the given expression. 12/5÷ 7/10 We can recall that dividing by a fraction is the same as multiplying by its reciprocal. Let's use this information to simplify our expression!

12/5÷ 7/10

DivFracByFracSL

.a/b /c/d.=a/b*d/c

12/5* 10/7

MultFrac

Multiply fractions

12* 10/5* 7

Multiply

120/35

ReduceFrac

a/b=.a /5./.b /5.

24/7

FracToMixed

Write fraction as a mixed number

3 37

The simplified expression is equal to 3 37.

We want to simplify the given expression. 9/4÷ (- 1/3) We can recall that dividing by a fraction is the same as multiplying by its reciprocal. We also know that the the product of two numbers with different signs is negative. Let's use this information to simplify our expression!

9/4÷ (- 1/3)

DivFracByFracSL

.a/b /c/d.=a/b*d/c

9/4* (- 3/1)

MultPosNeg

a(- b)=- a * b

- 9/4* 3/1

MultFrac

Multiply fractions

- 9* 3/4* 1

Multiply

- 27/4

FracToMixed

Write fraction as a mixed number

- 6 34

The simplified expression is equal to - 6 34.

We want to simplify the given expression. - 3/5÷ (- 1/6) We can recall that dividing by a fraction is the same as multiplying by its reciprocal. We also know that the product of two numbers with the same sign is positive. Let's use this information to simplify our expression!

- 3/5÷ (- 1/6)

DivFracByFracSL

.a/b /c/d.=a/b*d/c

- 3/5* (- 6/1)

MultNegNegOnePar

- a(- b)=a* b

3/5* 6/1

MultFrac

Multiply fractions

3* 6/5* 1

Multiply

18/5