Question

Create a word problem that involves fractions. (fith grade)

Answer 1

Esther has 2/3 of blue dresses in her dresser. Dana has 6/9 of blue dresses in his dresser. Are the fractions equivalent?

Answer: Yes! The fractions are equivalent because when 6/9 is simplified, it would be 2/3.

Answer 2

3/5 of the visitors to the museum come during the week, and 4/10 come during the weekend. When does the museum get more visitors, during the week or during the weekend.

We know that 3/5 of the visitors to the museum come during the week, and that 4/10 come during the weekend. Since we want to know when the museum  gets more visitors, we need to compare 3/5 to 4/10.

Notice that 3/5 and 4/10 are unlike fractions so our first step is to find a common denominator. The common denominator of 5 and 10 is the least common multiple of 5 and 10 or 10.

To get a denominator of 10 for our first fraction 3/5, we must multiply both the numerator and denominator by 2 to get 6/10.

Notice that 4/10 already has 10 in the denominator so it stays the same. Now we have like fractions. To compare like fractions, we simply compare the numerators or the top numbers. Since 6 is greater than 4, we know that 6/10 must be greater than 4/10. Since 6/10 represents the number of visitors that come to the museum during the week, we know that the museum gets more visitors during the week.