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
