Question

joseph says that there is 5/8 of a ham sandwich left and 1/2 of a turkey sandwich left. what is NOT a pair of equivalent fractions for 5/8 and 1/2?

Answer 1

Two possible answers are:

5/16 and 3/8.

Explanation:

To create a fraction equivalent to a given fraction, you multiply the numerator and denominator by the same number. This means for 5/8, we could have:

5/8; (5*2)/(8*2)=10/16; (5*3)/(8*3)=15/24; etc.

For 1/2, we could have:

1/2; (1*2)/(2*2)=2/4; (1*3)/(2*3)=3/6; etc.

Answer 2

air for
`(5)/(8)` is not a pair of equivalent fraction.

Explanation:

Fraction of a ham sandwich left =
`(5)/(8)`

Fraction of a turkey sandwich left =
`(1)/(2)`

Now we find,

Fraction of sandwich that he eat.

Fraction of a ham sandwich Joseph eat =
`1-(5)/(8)=(8-5)/(8)=(3)/(8)`

Fraction of a Turkey sandwich Joseph eat =
`1-(1)/(2)=(2-1)/(8)=(1)/(2)`

Now the pair of fraction we have are

Pair 1:
`(5)/(8)\:\:and\:\:(3)/(8)`

Pair 2:
`(1)/(2)\:\:and\:\:(1)/(2)`

Now, Equivalent fraction are those fractions which has equal simplest form.

Clearly above pair of fractions are already in simplest form.

So, pair 1 of fraction are not equivalent fractions.

Therefore, Pair for
`(5)/(8)` is not a pair of equivalent fraction.