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whats 1 1/2 -3/4?

11 answers

To solve \( 1 \frac{1}{2} - \frac{3}{4} \), first convert \( 1 \frac{1}{2} \) to an improper fraction.

  1. Convert \( 1 \frac{1}{2} \): \[ 1 \frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{2 + 1}{2} = \frac{3}{2} \]

  2. Now subtract \( \frac{3}{4} \) from \( \frac{3}{2} \). To do this, we need a common denominator. The least common denominator (LCD) of 2 and 4 is 4.

  3. Convert \( \frac{3}{2} \) to have a denominator of 4: \[ \frac{3}{2} = \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \]

  4. Now subtract \( \frac{3}{4} \): \[ \frac{6}{4} - \frac{3}{4} = \frac{6 - 3}{4} = \frac{3}{4} \]

Thus, the answer is \( \frac{3}{4} \).

There are three people running to be elected as the Town Clerk. If the first person gets 13
of the votes, and the second person gets 215
of the votes, what is the total votes for the two people?(1 point)
Responses

315
Start Fraction 3 over 15 End Fraction

12
Start Fraction 1 over 2 End Fraction

715
Start Fraction 7 over 15 End Fraction

318

Let's denote the total number of votes by \( V \).

  1. The first person gets \( \frac{1}{3} \) of the votes: \[ \text{Votes for the first person} = \frac{1}{3} V \]

  2. The second person gets \( \frac{2}{15} \) of the votes: \[ \text{Votes for the second person} = \frac{2}{15} V \]

Now, we need to find the total votes for these two people: \[ \text{Total votes for first and second person} = \frac{1}{3} V + \frac{2}{15} V \]

To add the fractions, we need a common denominator. The least common multiple of 3 and 15 is 15.

  1. Convert \( \frac{1}{3} \) to have a denominator of 15: \[ \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \]

  2. Now add the two fractions: \[ \frac{5}{15} V + \frac{2}{15} V = \frac{(5 + 2)}{15} V = \frac{7}{15} V \]

Thus, the total votes for the two people, expressed in terms of the total number of votes \( V \), is \( \frac{7}{15} V \).

Since the options in your response list suggest numbers (not in terms of V), it appears that you may be looking for the numerical representation of \( \frac{7}{15} \) without knowing \( V \).

Since the question asks for the total votes for the two people aggregated, we can conclude that the answer, as a response option, is:

Start Fraction 7 over 15 End Fraction.

There are three people running to be elected as the Town Clerk. If the first person gets 1/3
of the votes, and the second person gets 2/15
of the votes, what is the total votes for the two people?(1 point)
Responses

315
Start Fraction 3 over 15 End Fraction

12
Start Fraction 1 over 2 End Fraction

715
Start Fraction 7 over 15 End Fraction

318

To find the total votes for the first and second candidates, we need to add the fractions given for each candidate.

  1. The first candidate receives \( \frac{1}{3} \) of the votes.
  2. The second candidate receives \( \frac{2}{15} \) of the votes.

Step 1: Find a common denominator. The least common multiple of 3 and 15 is 15.

Step 2: Convert \( \frac{1}{3} \) to a fraction with a denominator of 15. \[ \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \]

Step 3: Add the two fractions. Now, we can add \( \frac{5}{15} \) and \( \frac{2}{15} \): \[ \frac{5}{15} + \frac{2}{15} = \frac{5 + 2}{15} = \frac{7}{15} \]

So, the total votes for the two people is \( \frac{7}{15} \).

Among your response options, the one that matches this fraction is:

  • Start Fraction 7 over 15 End Fraction

Therefore, the answer is \( \frac{7}{15} \).

Skyler is making cookies to donate to the bake sale at his local grocery store. He makes 2/3
of the cookies on a given night and has only enough time to decorate 1/4
of them. What is the fractional portion remaining that he still needs to decorate?(1 point)
Responses

3/7
Start Fraction 3 over 7 End Fraction

1/2
Start Fraction 1 over 2 End Fraction

5/12
Start Fraction 5 over 12 End Fraction

11/12
Start Fraction 11 over 12 End Fraction

To determine the fractional portion of cookies that Skyler still needs to decorate, we will follow these steps:

  1. Determine the Fraction of Cookies Made: Let's denote the total number of cookies made as \( C \). Skyler makes \( \frac{2}{3} \) of the cookies, so: \[ \text{Cookies made} = \frac{2}{3} C \]

  2. Determine the Fraction of Cookies Decorated: Out of the \( \frac{2}{3} C \) cookies made, he decorates \( \frac{1}{4} \) of them: \[ \text{Cookies decorated} = \frac{1}{4} \times \frac{2}{3} C = \frac{2}{12} C = \frac{1}{6} C \]

  3. Determine the Fraction of Cookies Remaining to Decorate: To find the portion remaining that needs to be decorated, we subtract the fraction of cookies decorated from the fraction of cookies made: \[ \text{Remaining cookies to decorate} = \frac{2}{3} C - \frac{1}{6} C \]

  4. Finding a Common Denominator: The common denominator between 3 and 6 is 6. We can convert \( \frac{2}{3} \) to have a denominator of 6: \[ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \]

  5. Subtract the Fractions: Now we can perform the subtraction: \[ \frac{4}{6} C - \frac{1}{6} C = \frac{4 - 1}{6} C = \frac{3}{6} C = \frac{1}{2} C \]

Thus, the fractional portion remaining that he needs to decorate is \( \frac{1}{2} \).

Among the response options, the correct answer is:

  • 1/2 (Start Fraction 1 over 2 End Fraction)
Your neighborhood would like to raise funds to update the equipment in the neighborhood park. They hold a bake sale and raise 38
of the desired funds and then have a neighborhood yard sale and raise another 14
. What is the total fractional amount of the desired funds they have raised?(1 point)
Responses

12
Start Fraction 1 over 2 End Fraction

13
Start Fraction 1 over 3 End Fraction

18
Start Fraction 1 over 8 End Fraction

58

To find the total fractional amount of desired funds raised from both the bake sale and the yard sale, we need to add the fractions of funds raised from each event.

  1. Fraction Raised from the Bake Sale:

    • They raised \( \frac{3}{8} \) of the desired funds.

  2. Fraction Raised from the Yard Sale:

    • They raised \( \frac{1}{4} \) of the desired funds.

Step 1: Convert the fractions to a common denominator. The least common multiple (LCM) of 8 and 4 is 8.

Step 2: Convert \( \frac{1}{4} \) to have a denominator of 8: \[ \frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8} \]

Step 3: Add the fractions: Now, we can add the fractions: \[ \frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8} \]

Thus, the total fractional amount of the desired funds they have raised is \( \frac{5}{8} \).

Response Options: It seems like the immediate response options don't contain \( \frac{5}{8} \). However, let's double-check the options provided:

  • 12 (Start Fraction 1 over 2 End Fraction)
  • 13 (Start Fraction 1 over 3 End Fraction)
  • 18 (Start Fraction 1 over 8 End Fraction)
  • 58

Since \( \frac{5}{8} \) is not among the listed choices, please ensure that the options provided are correct. With the calculations provided, the total raised funds equal \( \frac{5}{8} \).

i meant: Your neighborhood would like to raise funds to update the equipment in the neighborhood park. They hold a bake sale and raise 3/8 of the desired funds and then have a neighborhood yard sale and raise another 1/4. What is the total fractional amount of the desired funds they have raised?(1 point)
Responses

1/2
Start Fraction 1 over 2 End Fraction

1/3
Start Fraction 1 over 3 End Fraction

1/8
Start Fraction 1 over 8 End Fraction

5/8

To find the total fractional amount of desired funds raised from both the bake sale and the yard sale, we will add the fractions raised from each event.

  1. Fraction raised from the bake sale:
    \[ \frac{3}{8} \]

  2. Fraction raised from the yard sale:
    \[ \frac{1}{4} \]

Step 1: Convert \( \frac{1}{4} \) to a fraction with a common denominator of 8.
The least common multiple (LCM) of 8 and 4 is 8. We can convert \( \frac{1}{4} \): \[ \frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8} \]

Step 2: Add the fractions: Now, we can add the two fractions: \[ \frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8} \]

Thus, the total fractional amount of the desired funds they have raised is \(\frac{5}{8}\).

Response Options: Based on the options provided, the correct answer is:

  • 5/8

This is the total fractional amount they have raised.