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?
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; (52)/(82)=10/16; (53)/(83)=15/24; etc.
For 1/2, we could have:
1/2; (12)/(22)=2/4; (13)/(23)=3/6; etc.
Answer:
air for \(\frac{5}{8}\) is not a pair of equivalent fraction.
Step-by-step explanation:
Fraction of a ham sandwich left = \(\frac{5}{8}\)
Fraction of a turkey sandwich left = \(\frac{1}{2}\)
Now we find,
Fraction of sandwich that he eat.
Fraction of a ham sandwich Joseph eat = \(1-\frac{5}{8}=\frac{8-5}{8}=\frac{3}{8}\)
Fraction of a Turkey sandwich Joseph eat = \(1-\frac{1}{2}=\frac{2-1}{8}=\frac{1}{2}\)
Now the pair of fraction we have are
Pair 1: \(\frac{5}{8}\:\:and\:\:\frac{3}{8}\)
Pair 2: \(\frac{1}{2}\:\:and\:\:\frac{1}{2}\)
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 \(\frac{5}{8}\) is not a pair of equivalent fraction.