Question

And the value of -2/3×3/5+5/2-(-3/2)×1/6
​

Answer 1

Answer:

look

Step-by-step explanation:

−  

3

2

​  

×  

5

3

​  

×  

2

5

​  

−(−  

2

3

​  

)×  

6

1

​  

 

Multiply −  

3

2

​  

 times  

5

3

​  

 by multiplying numerator times numerator and denominator times denominator.

3×5

−2×3

​  

×(  

2

5

​  

)−(−  

2

3

​  

×(  

6

1

​  

))

Cancel out 3 in both numerator and denominator.

5

−2

​  

×(  

2

5

​  

)−(−  

2

3

​  

×(  

6

1

​  

))

Fraction  

5

−2

​  

 can be rewritten as −  

5

2

​  

 by extracting the negative sign.

−  

5

2

​  

×(  

2

5

​  

)−(−  

2

3

​  

×(  

6

1

​  

))

Multiply −  

5

2

​  

 times  

2

5

​  

 by multiplying numerator times numerator and denominator times denominator.

5×2

−2×5

​  

−(−  

2

3

​  

×(  

6

1

​  

))

Cancel out 5 in both numerator and denominator.

2

−2

​  

−(−  

2

3

​  

×(  

6

1

​  

))

Divide −2 by 2 to get −1.

−1−(−  

2

3

​  

×(  

6

1

​  

))

Multiply −  

2

3

​  

 times  

6

1

​  

 by multiplying numerator times numerator and denominator times denominator.

−1−  

2×6

−3

​  

 

Do the multiplications in the fraction  

2×6

−3

​  

.

−1−  

12

−3

​  

 

Reduce the fraction  

12

−3

​  

 to lowest terms by extracting and canceling out 3.

−1−(−  

4

1

​  

)

The opposite of −  

4

1

​  

 is  

4

1

​  

.

−1+  

4

1

​  

 

Convert −1 to fraction −  

4

4

​  

.

−  

4

4

​  

+  

4

1

​  

 

Since −  

4

4

​  

 and  

4

1

​  

 have the same denominator, add them by adding their numerators.

4

−4+1

​  

 

Add −4 and 1 to get −3.

−  

4

3

​  

 

FACTOR

2  

2

 

(−1)⋅3

​  

=−0.75