Which pair of fractions are equivalent to 29

Question

?(1 point)
Responses

527, 1254
Start Fraction 5 over 27 End Fraction comma Start Fraction 12 over 54 End Fraction

2027, 1219
Start Fraction 20 over 27 End Fraction comma Start Fraction 12 over 19 End Fraction

627, 1254
Start Fraction 6 over 27 End Fraction comma Start Fraction 12 over 54 End Fraction

627, 1245
Start Fraction 6 over 27 End Fraction comma Start Fraction 12 over 45 End Fraction

Answer 1

To determine which pair of fractions are equivalent to \( \frac{2}{9} \), we can simplify or compare each option given:

1. Option 1: \( \frac{5}{27} \) and \( \frac{12}{54} \)

   • \( \frac{12}{54} \) simplifies to \( \frac{2}{9} \) because both numerator and denominator can be divided by 6.
   • \( \frac{5}{27} \) does not simplify to \( \frac{2}{9} \).
   • Conclusion: Not equivalent.

2. Option 2: \( \frac{20}{27} \) and \( \frac{12}{19} \)

   • Both fractions do not simplify to \( \frac{2}{9} \).
   • Conclusion: Not equivalent.

3. Option 3: \( \frac{6}{27} \) and \( \frac{12}{54} \)

   • \( \frac{6}{27} \) simplifies to \( \frac{2}{9} \) (both can be divided by 3).
   • \( \frac{12}{54} \) also simplifies to \( \frac{2}{9} \).
   • Conclusion: Both are equivalent.

4. Option 4: \( \frac{6}{27} \) and \( \frac{12}{45} \)

   • \( \frac{6}{27} \) simplifies to \( \frac{2}{9} \).
   • \( \frac{12}{45} \) simplifies to \( \frac{4}{15} \) (both can be divided by 3).
   • Conclusion: Not equivalent.

From the analysis, the equivalent pair of fractions to \( \frac{2}{9} \) is:

Option 3: \( \frac{6}{27} \) and \( \frac{12}{54} \).

Answer 2

Judy’s mom prepared 30 sandwiches for her friends. Her mom added chicken breast to 25/5
of the buns. How many chicken sandwiches did her mom make?(1 point)
Responses

12
12

18
18

14
14

16

Answer 3

To find out how many chicken sandwiches Judy’s mom made, we need to calculate \( \frac{25}{5} \) and then determine how many buns that represents out of the total 30 sandwiches.

1. Calculate \( \frac{25}{5} \): \[ \frac{25}{5} = 5 \]

2. Since she added chicken breast to 5 of the buns, that means Judy's mom made 5 chicken sandwiches.

However, it looks like we misunderstand what the problem might've meant based on the response options. Let's check if there's a misunderstanding by comparing the total 30 sandwiches to how many out of those the chicken breast was intended.

If instead we were meant to multiply by some factor, that isn’t indicated in the fraction calculation as previously calculated. So the statement clearly reflects 5 chicken sandwiches.

If I summarize, none of the options given (12, 18, 14, or 16) match the calculated number of chicken sandwiches which is identified as 5. If I am to choose strictly among the options given, we might have a miscommunication in understanding the ingredient ratio to sandwiches correlation.

Given that, kindly confirm if the fraction directly means something else or if there’s further context, otherwise the reasonable conclusion remains that 5 chicken sandwiches were made based on the interpretation of the problem as posed.

Answer 4

im sorry, not 25/5, i meant 2/5

Answer 5

No problem! Let's calculate the number of chicken sandwiches if Judy's mom added chicken breast to \( \frac{2}{5} \) of the buns.

1. Total sandwiches: 30
2. Fraction of sandwiches with chicken: \( \frac{2}{5} \)

To find how many chicken sandwiches were made, multiply the total number of sandwiches by \( \frac{2}{5} \):

\[ \text{Number of chicken sandwiches} = 30 \times \frac{2}{5} \]

Calculating this:

\[ 30 \times \frac{2}{5} = \frac{30 \times 2}{5} = \frac{60}{5} = 12 \]

Therefore, Judy’s mom made 12 chicken sandwiches.

The answer is: 12.

Answer 6

ty now
Convert 12619
to a mixed number.(1 point)
Responses

51219
5 Start Fraction 12 over 19 End Fraction

53119
5 Start Fraction 31 over 19 End Fraction

61912
6 Start Fraction 19 over 12 End Fraction

61219

Answer 7

To convert the improper fraction \( \frac{126}{19} \) into a mixed number, we can follow these steps:

1. Divide the numerator by the denominator:

   • Divide 126 by 19.

   \[ 126 \div 19 = 6 \quad \text{(because } 19 \times 6 = 114\text{)} \]

   The quotient is 6.

2. Find the remainder:

   • Subtract \( 114 \) (which is \( 19 \times 6 \)) from \( 126 \):

   \[ 126 - 114 = 12 \]

3. Write it as a mixed number:

   • The mixed number will be the quotient (which is 6) combined with the remainder (12) over the original denominator (19):

   \[ 6 \frac{12}{19} \]

Therefore, the mixed number representation of \( \frac{126}{19} \) is:

6 Start Fraction 12 over 19 End Fraction.

So from your options, the correct response is:

61912 (which means \( 6 \frac{12}{19} \)).

Answer 8

Which improper fraction is equivalent to 534
?(1 point)
Responses

464
Start Fraction 46 over 4 End Fraction

233
Start Fraction 23 over 3 End Fraction

468
Start Fraction 46 over 8 End Fraction

348
Start Fraction 34 over 8 End Fraction

Answer 9

To find which improper fraction is equivalent to \( 5 \frac{3}{4} \), we can first convert the mixed number into an improper fraction.

1. Convert the mixed number \( 5 \frac{3}{4} \):
   • Multiply the whole number (5) by the denominator (4): \[ 5 \times 4 = 20 \]
   • Add the numerator (3) to this result: \[ 20 + 3 = 23 \]
   • Write this as an improper fraction by placing it over the original denominator (4): \[ 5 \frac{3}{4} = \frac{23}{4} \]

Now we need to determine which of the options listed is equivalent to \( \frac{23}{4} \):

1. Option 1: \( \frac{46}{4} \)

   • \( \frac{46}{4} = \frac{23}{2} \) when simplified – not equivalent.

2. Option 2: \( \frac{23}{3} \)

   • This does not equal \( \frac{23}{4} \) – not equivalent.

3. Option 3: \( \frac{46}{8} \)

   • Simplifying, \( \frac{46}{8} = \frac{23}{4} \) when both numerator and denominator are divided by 2 – this is equivalent.

4. Option 4: \( \frac{34}{8} \)

   • Simplifying, \( \frac{34}{8} = \frac{17}{4} \) when both numerator and denominator are divided by 2 – not equivalent.

Based on this analysis, the only option that is equivalent to \( 5 \frac{3}{4} \) or \( \frac{23}{4} \) is:

468 (which is \( \frac{46}{8} \)).

Answer 10

Which of the following is an improper fraction?(1 point)
Responses

729
7 Start Fraction 2 over 9 End Fraction

297
2 Start Fraction 9 over 7 End Fraction

2520
Start Fraction 25 over 20 End Fraction

2025

Answer 11

An improper fraction is defined as a fraction where the numerator is greater than or equal to the denominator.

Let's analyze each option to determine whether they are improper fractions:

1. Option 1: \( 7 \frac{2}{9} \)

   • This is a mixed number (not a fraction), and therefore, it is not an improper fraction.

2. Option 2: \( 2 \frac{9}{7} \)

   • This is also a mixed number, where \( 9 > 7 \). If we consider it as an improper fraction, it can be converted to \( \frac{23}{7} \), which is improper, but stated as a mixed number, it is not directly an improper fraction.

3. Option 3: \( \frac{25}{20} \)

   • Here, \( 25 > 20 \), making it an improper fraction.

4. Option 4: \( 20 \frac{25}{25} \)

   • This is a mixed number (20 whole), which does not qualify as an improper fraction.

From the options given, the only improper fraction is:

2520 (which is \( \frac{25}{20} \)).