What is 11/18 − 1/3?(1 point)

Question

Responses

1018
Start Fraction 10 over 18 End Fraction

518
Start Fraction 5 over 18 End Fraction

1554
Start Fraction 15 over 54 End Fraction

59

Answer 1

To calculate \( \frac{11}{18} - \frac{1}{3} \), we first need a common denominator. The denominator of \( \frac{1}{3} \) can be expressed with the denominator of \( \frac{11}{18} \):

1. The common denominator of 18 and 3 is 18.
2. Convert \( \frac{1}{3} \) to have a denominator of 18:

\[ \frac{1}{3} = \frac{1 \times 6}{3 \times 6} = \frac{6}{18} \]

3. Now we can subtract:

\[ \frac{11}{18} - \frac{6}{18} = \frac{11 - 6}{18} = \frac{5}{18} \]

Thus, \( \frac{11}{18} - \frac{1}{3} = \frac{5}{18} \).

The correct response is:

\(\frac{5}{18}\)

Answer 2

Jamal and his brother were each given a banana for a snack. Jamal ate 2/3 of his banana. His brother ate 1/4 of his. How much more did Jamal eat than his brother?(1 point)
Responses

712
Start Fraction 7 over 12 End Fraction

512
Start Fraction 5 over 12 End Fraction

34
Start Fraction 3 over 4 End Fraction

1

Answer 3

To find out how much more Jamal ate than his brother, we first need to calculate how much each of them ate and then find the difference.

1. Jamal's consumption:

   • Jamal ate \( \frac{2}{3} \) of his banana.

2. Jamal's brother's consumption:

   • His brother ate \( \frac{1}{4} \) of his banana.

3. Now we need to find the difference:

   • To subtract these fractions, we first need a common denominator. The least common multiple (LCM) of 3 and 4 is 12.

   • Convert \( \frac{2}{3} \) to a fraction with a denominator of 12: \[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \]

   • Convert \( \frac{1}{4} \) to a fraction with a denominator of 12: \[ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \]

4. Now we subtract: \[ \frac{8}{12} - \frac{3}{12} = \frac{8 - 3}{12} = \frac{5}{12} \]

Thus, Jamal ate \( \frac{5}{12} \) more banana than his brother.

The correct response is:

\(\frac{5}{12}\)