Question

By what number should (5) 1/6 be divided to get (1) 11/20​

Answer 1

Division of fractions

To find: by what number should 5 1/6 be divided to get 1 11/20

Solution:

• Here, 5 1/6 = 5 + 1/6 = (30 + 1)/6 = 31/6
• and 1 11/20 = 1 + 11/20 = (20 + 11)/20 = 31/20

Let the required fraction be x

Then, (31/6) / x = 31/20

or, x / (31/6) = 20/31 [ by taking reciprocals ]

or, x = 20/31 * 31/16

or, x = 20/16

or, x = (2 × 2 × 5)/(2 × 2 × 2 × 2)

or, x = 5/4

or, x = 1 1/4

Answer: 5 1/6 should be divided by 1 1/4 to get 1 11/20.