Question

Lesson: Adding and subtracting Like Fractions:

Solve
1/9 + (-5/9)=?

3/8 + (-7/8)=?

-3/4 + (-3/4)=?


Lesson: Adding and subtracting Unlike Fractions:

Solve
(-7/10) - (2/5)=?

(-4/9) - (2/15)=?

P.S: The parentheses are just so the negative (-) and positive (+) numbers and signs don't get mixed up! Thank you for your help!

Answer 1

1)
`(1)/(9) + - (5)/(9) = \fbox {-4/9} \ \sf or \ \fbox {-0.4444}`
Steps: Simplify brackets, subtract numerators.

2)
`(3)/(8) + - (7)/(8) =`
`\fbox {-1/2} \ \sf or \ \fbox {-0.5}`
Steps: Simplify brackets, subtract numerators, simplify into simplest form.

3)
`- (3)/(4) + - (3)/(4) = \fbox {-3/2} \ \sf or \ \fbox {-1.5}`
Steps: Simplify brackets, add numerators, change into simplest form.

----

1)
`- (7)/(10) - (2)/(5) = \fbox {-11/10} \ \sf or \ \fbox {-1.1}`
Steps: Simplify brackets, simplify.

2)
`- (4)/(9) - (2)/(15) = \fbox {-26/45} \ \sf or \ \fbox {-0.5778}`
Steps: Simplify brackets, simplify.

Answer 2

When adding/subtracting like fraction, simply keep the denominators the same, and add/subtract the numerators

1/9+(-5/9)= -4/9

3/8+(-7/8)= -4/8

-3/4+(-3/4)=-6/4

When adding/subtracting unlike fractions, We have to find the LCM of the denominators, and then find the fractions equivalent with that denominator. Then add/subtract the numerators.

-7/10 - 2/5= -7/10 - 4/10= -11/10

-4/9 - 2/15= -20/45 - 6/45= -26/45