6.C.1.a Add & Subtract fractions and mixed numbers and express answers in simplest form.

Remember that when you subtract fractions you may need to rename the first mixed number.

13 - 6 3416

Find the least common denominator (LCD) of the fractions.

13-

6 34

=

=

912

212

16

13 - 6 912212

Rename using 12 as the denominator13212

= 12+

212

= 13

= 12 12

12

212+

1+

+

212+

= 121412

13212

Our new subtraction problem is:

13-

6 912

=

= 6 9

12

121412212

Subtract the fractions.

6 912

121412-

512

Subtract the whole numbers

6 912

121412-

5126

Simplify the fraction into lowest terms. In this case the fraction is in lowest

terms.

5126

8 - 2 4538

Find the least common denominator (LCD) of the fractions.

8-

2 45

=

=

3240

1540

38

8 - 232401540

Rename using 40 as the denominator8 1540

= 7+

1540

= 8

= 7 40

40

1540+

1+

+

1540+

= 7 5540

8 1540

Our new subtraction problem is:

8-

2 3240

=

= 2 32407 554015

40

Subtract the fractions

2 32407 5540-

2340

Subtract the whole numbers

2 32407 5540-

23405

Simplify the fraction in lowest terms. In this case the fraction is in lowest

terms.

23405

6 - 3 2517

Find the least common denominator (LCD) of the fractions.

6-

3 25

=

=

1435

535

17

6 - 31435535

Rename using 35 as the denominator

6 535

= 5+

535

= 6

= 5 35

35

535+

1+

+

535+

= 5 4035

6 535

Our new subtraction problem is:

6-

3 1435

=

= 3 14355 40355

35

Subtract the fractions.

3 14355 4035-

2635

Subtract the whole numbers.

3 14355 4035-

26352

Simplify the fraction in lowest terms. In this case the fraction is in lowest

terms.

26352

Subtract

8 - 5 7938

Subtract

9 - 5 8915