Fraction Division Practice Ready to test your skills? A random problem is shown below. Fill in the boxes for each "Keep, Change, Flip" step and the final simplified answer, then check your work!

Fraction Division Practice

Ready to test your skills? A random problem is shown below. Fill in the boxes for each "Keep, Change, Flip" step and the final simplified answer, then check your work!

÷

Your Turn: Keep, Change, Flip

Keep

×

Flip

=

Answer

Addition & Subtraction of Unlike Fractions

FRACTIONS!

Addition & Subtraction of Unlike Fractions

Model 1

Analysis: Denominators are 3 and 5 (unlike & co-prime), so we use Cross-Multiplication.

23

+

15

=

2 × 5 + 1 × 3 15

=

10 + 3 15

=

13 15

Model 2

Analysis: Denominators are 6 and 4 (unlike, not co-prime), so we find the LCM.

Method: Use the Ladder Method to find LCM.

2	6, 4
	3, 2

LCM = 2 × 3 × 2 = 12

Solve: Convert to equivalent fractions with denominator 12 and solve.

56

-

14

=

5 × 2 - 1 × 3 12

=

10 - 3 12

=

7 12

🎯 Interactive Practice 🎯

📚 Choose Difficulty: Custom Problem Easy (Denominators < 10) Medium (Denominators < 20) Hard (Simplification needed)

➕ Operation: Addition (+) Subtraction (-)

📝 The Problem:

+

Step 1: Analyze the Problem

Are the fractions Like or Unlike?

Like Unlike

Are the denominators co-prime (HCF is 1)?

Yes No

Step 2: Find the LCM

What is the Least Common Multiple (LCM) of the denominators?

Step 3: Calculate the New Numerators

( + )

Step 4: Combine and Enter the Result

Step 5: Simplify

Your result is . Is this in its simplest form?

FRACTIONS Addition & Subtraction of Unlike Fractions

FRACTIONS

Addition & Subtraction of Unlike Fractions

2 3

+

1 5

🔍 Check denominators: 3 and 5 are different
Type: Unlike fractions

❓ What should we do with unlike fractions?
✅ Find the LCM/LCD to make them like fractions!

Find LCM/LCD of 3 and 5:
Multiples of 3: 3, 6, 9, 12, 15, 18...
Multiples of 5: 5, 10, 15, 20...
LCM = 15

Method: Cross Multiplication

2

1

↗↖

3

5

Step 1: (2)(5) + (1)(3) (3)(5)

Step 2: 10 + 3 15

Result: 13 15

4 5

-

2 7

🔍 Check denominators: 5 and 7 are different
Type: Unlike fractions

❓ What should we do with unlike fractions?
✅ Find the LCM/LCD to make them like fractions!

Find LCM/LCD of 5 and 7:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35...
Multiples of 7: 7, 14, 21, 28, 35...
LCM = 35

Method: Cross Multiplication

4

2

↗↖

5

7

Step 1: (4)(7) - (2)(5) (5)(7)

Step 2: 28 - 10 35

Result: 18 35

5 8

+

1 6

🔍 Check denominators: 8 and 6 are different
Type: Unlike fractions

❓ What should we do with unlike fractions?
✅ Find the LCM/LCD to make them like fractions!

Find LCM/LCD of 8 and 6:

Least Common Multiple

2	8, 6
2	4, 3
2	2, 3
3	1, 3
	1, 1

LCM = 2 × 2 × 2 × 3 = 24

Step 1 - Convert to equivalent fractions:
5 8 = 5 × 3 24 = 15 24

1 6 = 1 × 4 24 = 4 24

Step 2 - Add like fractions: 15 + 4 24 = 19 24

Result: 19 24 (Already in simplest form)

8 3

-

2 9

🔍 Check denominators: 3 and 9 are different
Type: Unlike fractions

❓ What should we do with unlike fractions?
✅ Find the LCM/LCD to make them like fractions!

Find LCM/LCD of 3 and 9:

Least Common Multiple

3	3, 9
3	1, 3
	1, 1

LCM = 3 × 3 = 9

Step 1 - Convert to equivalent fractions:
8 3 = 8 × 3 9 = 24 9

2 9 = 2 × 1 9 = 2 9

Step 2 - Subtract like fractions: 24 - 2 9 = 22 9

Result: 22 9 (Already in simplest form)

🎯 Practice Time! 🎯

+ -

Click for tips! Use cross multiplication to solve fractions with different denominators!