Question

Choose the fraction that has not been reduced to simplest form.

A.11/17
B.5/16
C.3/57
D.21/34

Answer 1

The answer would be (C).

To be fully simplified, the numerator and denominator must have a GCF of 1.

Answer (C) says 3/57. However, using the divisibility rule of 3 (add the digits together, and if the sum is a multiple of 3, then the number is as well), we see that 57 is divisible by 3, meaning this fraction is not simplified. The simplified version would be 1/19.

Answer 2

When a fraction is in reduced form, one of the numbers will be a multiple of the other.

In
`(11)/(17)` one of the numbers is NOT a multiple of the other.

In
`(5)/(16)` one of the numbers is NOT a multiple of the other.

In
`(3)/(57)` one of the numbers IS a multiple of the other.

`(3 / 3)/(57 / 3) = (1)/(19)`

In
`(21)/(34)` one of the numbers is NOT a multiple of the other.

Your answer is C