Question

1. shelley pours \\(\frac{4}{5}\\) gallon of water into a bird bath. she finds that \\(\frac{3}{4}\\) of the water is gone. what is the amount of water, in gallons, that is gone?\

a \\(\frac{7}{9}\\) gallon\
b \\(\frac{3}{5}\\) gallon\
c \\(\frac{1}{4}\\) gallon\
d \\(\frac{1}{5}\\) gallon\

1. which statement is true?\

a the product of \\(5 \times \frac{2}{5}\\) does not equal a whole number.\
b \\(5 \times \frac{2}{5}\\) has a fraction as the product because \\(\frac{2}{5}\\) is a fraction.\
c \\(5 \times \frac{2}{5}\\) equals a number greater than 2 because 5 is a whole number\
d the product of \\(5 \times \frac{2}{5}\\) is less than the whole number in the problem because \\(\frac{2}{5}\\) is less than one.

Explanation:

Question 14

Step1: Identify the operation

To find the amount of water gone, we multiply the total amount of water by the fraction that is gone. The total water is $\frac{4}{5}$ gallon and the fraction gone is $\frac{3}{4}$. So we calculate $\frac{4}{5} \times \frac{3}{4}$.

Step2: Multiply the fractions

When multiplying fractions, we multiply the numerators and the denominators: $\frac{4 \times 3}{5 \times 4}$. The 4 in the numerator and 4 in the denominator cancel out, leaving $\frac{3}{5}$.

First, calculate $5 \times \frac{2}{5}$.

Step1: Multiply the numbers

$5 \times \frac{2}{5}=\frac{5\times2}{5} = 2$, which is a whole number. Now let's analyze each option:

• Option A: The product is 2, which is a whole number, so A is false.
• Option B: The product is 2, a whole number, not a fraction, so B is false.
• Option C: The product is 2, which is not greater than 2, so C is false.
• Option D: The product is 2, and the whole number in the problem is 5. Since $\frac{2}{5}<1$, multiplying 5 by a number less than 1 gives a product less than 5. So D is true.

Answer:

B. $\frac{3}{5}$ gallon

Question 15