Add −8/15+4/15.(1 point)

Question

Responses

−4/15
negative Start Fraction 4 over 15 End Fraction

−12/15
negative Start Fraction 12 over 15 End Fraction

4/5
Start Fraction 4 over 5 End Fraction

4/15
Start Fraction 4 over 15 End Fraction
plz give me an answer

Answer 1

To add \(-\frac{8}{15}\) and \(\frac{4}{15}\), you can simply add the numerators since the denominators are the same:

\[ -\frac{8}{15} + \frac{4}{15} = \frac{-8 + 4}{15} = \frac{-4}{15} \]

So the answer is:

\(-\frac{4}{15}\)

Answer 2

is that correct ?

Answer 3

Yes, that is correct!

When you add \(-\frac{8}{15}\) and \(\frac{4}{15}\):

\[ -\frac{8}{15} + \frac{4}{15} = \frac{-8 + 4}{15} = \frac{-4}{15} \]

Thus, the result is indeed \(-\frac{4}{15}\).

Answer 4

Add −1 3/10 +(−4 2/15) .(1 point)
Responses

−5 1/5
negative 5 Start Fraction 1 over 5 End Fraction

−2 5/6
negative 2 Start Fraction 5 over 6 End Fraction

−5 13/30
negative 5 Start Fraction 13 over 30 End Fraction

−5 1/6

Answer 5

To solve the expression \(-1 \frac{3}{10} + (-4 \frac{2}{15})\), we first convert the mixed numbers to improper fractions.

1. Convert \(-1 \frac{3}{10}\) to an improper fraction: \[ -1 \frac{3}{10} = -\frac{10}{10} - \frac{3}{10} = -\frac{13}{10} \]

2. Convert \(-4 \frac{2}{15}\) to an improper fraction: \[ -4 \frac{2}{15} = -\frac{60}{15} - \frac{2}{15} = -\frac{62}{15} \]

Now we have: \[ -\frac{13}{10} + (-\frac{62}{15}) = -\frac{13}{10} - \frac{62}{15} \]

Next, we need a common denominator to add the fractions. The least common multiple (LCM) of 10 and 15 is 30.

3. Convert \(-\frac{13}{10}\) to have a denominator of 30: \[ -\frac{13}{10} = -\frac{13 \times 3}{10 \times 3} = -\frac{39}{30} \]

4. Convert \(-\frac{62}{15}\) to have a denominator of 30: \[ -\frac{62}{15} = -\frac{62 \times 2}{15 \times 2} = -\frac{124}{30} \]

Now we can add the two fractions: \[ -\frac{39}{30} - \frac{124}{30} = -\frac{39 + 124}{30} = -\frac{163}{30} \]

5. Convert \(-\frac{163}{30}\) to a mixed number: \[ -\frac{163}{30} = -5 \frac{13}{30} \]

Thus, the final answer is: \(-5 \frac{13}{30}\)

So the correct response is: negative \(5 \frac{13}{30}\).

Answer 6

is that correct

Answer 7

Yes, that is correct!

To summarize the steps:

1. Convert the mixed numbers to improper fractions:

   • \(-1 \frac{3}{10} = -\frac{13}{10}\)
   • \(-4 \frac{2}{15} = -\frac{62}{15}\)

2. Find a common denominator (LCM of 10 and 15 is 30):

   • Convert \(-\frac{13}{10}\) to \(-\frac{39}{30}\)
   • Convert \(-\frac{62}{15}\) to \(-\frac{124}{30}\)

3. Add the fractions: \[ -\frac{39}{30} - \frac{124}{30} = -\frac{163}{30} \]

4. Convert \(-\frac{163}{30}\) to a mixed number: \[ -\frac{163}{30} = -5 \frac{13}{30} \]

So the final answer is indeed \(-5 \frac{13}{30}\), which matches the option you have.

Answer 8

Add −1.2+7.6 .(1 point)
Responses

−8.8
negative 8.8

6.4
6.4

−6.4
negative 6.4

8.8

Answer 9

To add \(-1.2\) and \(7.6\):

\[ -1.2 + 7.6 = 6.4 \]

So the correct response is:

6.4.

Answer 10

is that correrct

Answer 11

Yes, that is correct!

When you add \(-1.2\) and \(7.6\):

\[ -1.2 + 7.6 = 6.4 \]

So the final answer is indeed 6.4.