Solve the word problem below. Enter your answer using the slash (/) as the fraction bar.

Students were asked to choose their favorite food. If [tex]\frac{2}{8}[/tex] of the students chose pizza and [tex]\frac{5}{8}[/tex] chose tacos, what fraction chose either pizza or tacos?

Answer here: _______



Answer :

To solve this problem, we need to determine what fraction of the students chose either pizza or tacos. Let's break this down step-by-step:

1. Identify the fractions:
- Fraction of students who chose pizza: [tex]\(\frac{2}{8}\)[/tex]
- Fraction of students who chose tacos: [tex]\(\frac{5}{8}\)[/tex]

2. Sum the fractions:
We need to add the two fractions to find the total fraction of students who chose either pizza or tacos.

[tex]\[ \frac{2}{8} + \frac{5}{8} \][/tex]

3. Add the numerators:
Since the denominators are the same (both 8), we can directly add the numerators:

[tex]\[ 2 + 5 = 7 \][/tex]

4. Construct the resulting fraction:
Place the sum of the numerators over the common denominator:

[tex]\[ \frac{7}{8} \][/tex]

Thus, the fraction of students who chose either pizza or tacos is [tex]\(\frac{7}{8}\)[/tex].

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