Question

The difference of -3/4 - (-5/9)

Answer 1

Answer:

−  

7

36

≈negative 0.194−0.194

Step-by-step explanation:

Step 1 of 2: Subtract.

Subtract

(negative 3 over 4 −  

3

4

) − (negative 5 over 9 −  

5

9

) = negative 7 over 36−  

7

36

Step 1 of 2: Subtract, sub-step a: Subtract a negative.

Subtract a negative

negative 3 over 4−  

3

4

− (negative 5 over 9 −  

5

9

) = negative 3 over 4−  

3

4

+ 5 over 9

5

9

Subtracting a negative is the same as adding a positive.

Step 1 of 2: Subtract, sub-step b: Find common denominator.

Find common denominator

negative 3 over 4−  

3

4

+ 5 over 9

5

9

= −( 3 × 9 ) over ( 4 × 9 )

3 × 9

4 × 9

+ ( 5 × 4 ) over ( 9 × 4 )

5 × 4

9 × 4

= negative 27 over 36−  

27

36

+ 20 over 36

20

36

36 is the least common multiple of denominators 4 and 9. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step c: Add.

Add

negative 27 over 36−  

27

36

+ 20 over 36

20

36

= ( negative 27−27 + 20 ) over 36

negative 27−27 + 20

36

= negative 7 over 36−  

7

36