Dividing Fractions

Using "Keep, Change, Flip":

1/2 ÷ 1/4 = 1/2 × 4/1

Multiply: = (1 × 4)/(2 × 1) = 4/2 = 2

Answer: 2

This makes sense: How many 1/4s fit into 1/2? Two quarters make a half!

Keep the first fraction, change to multiplication, flip the second:

3/4 ÷ 2/3 = 3/4 × 3/2

Multiply numerators and denominators: = (3 × 3)/(4 × 2) = 9/8

Convert to mixed number: = 1 1/8

Answer: 1 1/8 or 9/8

We need to find 1/4 of 2/3, which means:

2/3 ÷ 4 = 2/3 ÷ 4/1

Keep, Change, Flip: = 2/3 × 1/4

Multiply: = (2 × 1)/(3 × 4) = 2/12

Simplify: = 1/6

Answer: 1/6 cup of flour

Step 1: Convert mixed numbers to improper fractions

2 1/2 = (2 × 2 + 1)/2 = 5/2 1 1/3 = (1 × 3 + 1)/3 = 4/3

Step 2: Divide using KCF 5/2 ÷ 4/3 = 5/2 × 3/4

Step 3: Multiply = (5 × 3)/(2 × 4) = 15/8

Step 4: Convert to mixed number = 1 7/8

Answer: 1 7/8

Divide the total length by the piece length:

5 1/4 ÷ 3/4

Step 1: Convert to improper fraction 5 1/4 = (5 × 4 + 1)/4 = 21/4

Step 2: Divide 21/4 ÷ 3/4 = 21/4 × 4/3

Step 3: Simplify before multiplying Notice 4s cancel: = 21/1 × 1/3 = 21/3 = 7

Answer: 7 pieces

Check: 7 pieces × 3/4 foot = 21/4 = 5 1/4 feet ✓