Question

Express the following numbers as a ratio between an integer and a natural number:

1 and 2/5, 0.3, -3 and 1/4, -27, 0

Answer 1

9514 1404 393

Answer:

• 7/5
• 3/10
• -13/4
• -27/1
• 0/1

Explanation:

The mixed numbers can be expressed as improper fractions in the usual way. The integer portion can be expressed as a multiple of the fraction denominator divided by itself.

Integers can be expressed as a ratio with 1 as the denominator.

1 2/5 = (1×5/5) +2/5 = (5+2)/5 = 7/5

0.3 = three tenths = 3/10

-3 1/4 = -(3×4/4 +1/4) = -(12+1)/4 = -13/4

-27 = -27/1

0 = 0/1