Question

Find the fraction suitable for the blank. Show the method how you found.​

Answer 1

• 4 1/2=9/2
• 1 3/13=16/13
• 4 4/5=24/5

Let that be x

• (9/2-x)×16/13=24/5
• (9-2x)/2=24/5×16/13
• (9-2x)/2=39/10
• 90-20x=78
• 20x=12
• x=12/20
• x=6/10
• x=3/5

Answer 2

• 3/5

Explanation:

Let the blank is x, solve the equation for x:

• (4 1/2 - x) × 1 3/13 = 4 4/5
• (9/2 - x) × 16/13 = 24/5
• 9/2 - x = 24/5 × 13/16
• 9/2 - x = 39/10
• x = 9/2 - 39/10
• x = 45/10 - 39/10
• x = 6/10
• x = 3/5