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What is the quotient when you divide −2 3/5 by 4/5 ?(1 point)

Responses

−25/52
negative Start Fraction 25 over 52 End Fraction

4/13
4 over 13

−2 3/4
negative 2 Start Fraction 2 over 25 End Fraction

−3 1/4

11 answers

To divide \(-2 \frac{3}{5}\) by \(\frac{4}{5}\), we first convert \(-2 \frac{3}{5}\) to an improper fraction.

  1. Convert \(-2 \frac{3}{5}\) to an improper fraction: \[ -2 \frac{3}{5} = -\left(2 \times 5 + 3\right)/5 = -\frac{10 + 3}{5} = -\frac{13}{5} \]

  2. Now, divide \(-\frac{13}{5}\) by \(\frac{4}{5}\): \[ -\frac{13}{5} \div \frac{4}{5} = -\frac{13}{5} \times \frac{5}{4} \]

  3. Multiply the fractions: \[ -\frac{13 \times 5}{5 \times 4} = -\frac{13}{4} \]

  4. Finally, we can convert \(-\frac{13}{4}\) to a mixed number: \[ -\frac{13}{4} = -3 \frac{1}{4} \]

Therefore, the quotient when you divide \(-2 \frac{3}{5}\) by \(\frac{4}{5}\) is \(-3 \frac{1}{4}\).

The answer is: \[ \text{−3 1/4} \]

Convert 0.96 to a fraction. The answer should be given in simplest form.(1 point)
Responses

2425
Start Fraction 24 over 25 End Fraction

96100
Start Fraction 96 over 100 End Fraction

4850
Start Fraction 48 over 50 End Fraction

96

To convert \(0.96\) to a fraction, we can follow these steps:

  1. Write \(0.96\) as \(\frac{96}{100}\).

  2. Simplify \(\frac{96}{100}\) by finding the greatest common divisor (GCD) of 96 and 100. The GCD of 96 and 100 is 4.

  3. Divide both the numerator and the denominator by their GCD: \[ \frac{96 \div 4}{100 \div 4} = \frac{24}{25} \]

Therefore, \(0.96\) as a fraction in simplest form is \(\frac{24}{25}\).

The answer is: \[ \text{Start Fraction 24 over 25 End Fraction} \]

What is 0.04 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses

2/50
Start Fraction 2 over 50 End Fraction

2/5
Start Fraction 2 over 5 End Fraction

1/25
Start Fraction 1 over 25 End Fraction

4/10

To convert \(0.04\) to a fraction, follow these steps:

  1. Write \(0.04\) as a fraction: \[ 0.04 = \frac{4}{100} \]

  2. Simplify \(\frac{4}{100}\) by finding the greatest common divisor (GCD) of 4 and 100, which is 4.

  3. Divide both the numerator and the denominator by their GCD: \[ \frac{4 \div 4}{100 \div 4} = \frac{1}{25} \]

Therefore, \(0.04\) as a fraction in simplest form is \(\frac{1}{25}\).

The answer is: \[ \text{Start Fraction 1 over 25 End Fraction} \]

What is 12.8 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses

128
Start Fraction 12 over 8 End Fraction

1245
12 Start Fraction 4 over 5 End Fraction

12810
12 Start Fraction 8 over 10 End Fraction

12225

To convert \(12.8\) to a fraction, follow these steps:

  1. Write \(12.8\) as a mixed number: \[ 12.8 = 12 + 0.8 \]

  2. Convert the decimal part \(0.8\) to a fraction: \[ 0.8 = \frac{8}{10} \]

  3. Simplify \(\frac{8}{10}\): \[ \frac{8}{10} = \frac{4}{5} \quad \text{(by dividing both numerator and denominator by 2)} \]

  4. Combine back into the mixed number: \[ 12 + \frac{4}{5} = \frac{12 \times 5 + 4}{5} = \frac{60 + 4}{5} = \frac{64}{5} \]

Thus, \(12.8\) as a fraction in simplest form is \(\frac{64}{5}\).

Now, look for the correct response in the given options, which is likely the mixed number:

The answer should be: \[ 12 \text{ Start Fraction } 4 \text{ over } 5 \text{ End Fraction} \]

This corresponds to the second option in the options you provided: \[ 12 \text{ Start Fraction } 4 \text{ over } 5 \text{ End Fraction} \]

What is 0.75 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses

340
Start Fraction 3 over 40 End Fraction

34
Start Fraction 3 over 4 End Fraction

75100
Start Fraction 75 over 100 End Fraction

75

To convert \(0.75\) to a fraction, follow these steps:

  1. Write \(0.75\) as a fraction: \[ 0.75 = \frac{75}{100} \]

  2. Simplify \(\frac{75}{100}\):

    • The greatest common divisor (GCD) of 75 and 100 is 25.
    • Divide both the numerator and denominator by their GCD: \[ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \]

Thus, \(0.75\) as a fraction in simplest form is \(\frac{3}{4}\).

The answer is: \[ \text{Start Fraction 3 over 4 End Fraction} \]

Marcus is making granola mix. He needs 6.125 cups of granola. His measuring cups are only in fractions. How many cups is 6.125 in fraction form? Simplify, if possible.(1 point)
Responses

61251,000
6 Start Fraction 125 over 1,000 End Fraction

6125
6 Start Fraction 1 over 25 End Fraction

654
6 Start Fraction 5 over 4 End Fraction

618
6 Start Fraction 1 over 8 End Fraction
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page 7 of 7

To convert \(6.125\) to a fraction, we can separate the whole number from the decimal:

  1. Separate the whole number and the decimal: \[ 6.125 = 6 + 0.125 \]

  2. Convert \(0.125\) to a fraction: \[ 0.125 = \frac{125}{1000} \]

  3. Simplify \(\frac{125}{1000}\):

    • The greatest common divisor (GCD) of 125 and 1000 is 125.
    • Divide both the numerator and denominator by their GCD: \[ \frac{125 \div 125}{1000 \div 125} = \frac{1}{8} \]

  4. Combine: Now combine \(6\) and \(\frac{1}{8}\): \[ 6 + \frac{1}{8} = \frac{6 \times 8 + 1}{8} = \frac{48 + 1}{8} = \frac{49}{8} \]

Thus, \(6.125\) as a fraction in simplest form is \(\frac{49}{8}\).

To match this to the provided responses, we are looking for the mixed number format: \[ 6 \text{ Start Fraction } 1 \text{ over } 8 \text{ End Fraction} \]

The answer is: \[ \text{6 Start Fraction 1 over 8 End Fraction} \]