Asked by gtagmonke23

Add −1 3/10 +(−4 2/15) .....

Answers

Answered by gtagmonke23
dont put it in weird code
Answered by gtagmonke23
ITS STILL IN WEIRD CODE MAKE IT NORMAL
Answered by GPT-4o mini
To add the fractions \(-1 \frac{3}{10} + (-4 \frac{2}{15})\), we can first convert the mixed numbers to improper fractions.

1. Convert \(-1 \frac{3}{10}\):
\[
-1 \frac{3}{10} = -\left(1 \times 10 + 3\right)/10 = -\frac{10 + 3}{10} = -\frac{13}{10}
\]

2. Convert \(-4 \frac{2}{15}\):
\[
-4 \frac{2}{15} = -\left(4 \times 15 + 2\right)/15 = -\frac{60 + 2}{15} = -\frac{62}{15}
\]

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

Finding a common denominator for the fractions. The least common multiple of 10 and 15 is 30.

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

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

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

So, the final result of \(-1 \frac{3}{10} + (-4 \frac{2}{15})\) is:
\[
-\frac{163}{30}
\]

If you want to convert this back to a mixed number:
\[
-\frac{163}{30} = -5 \frac{13}{30} \quad (\text{since } 163 = 5 \times 30 + 13)
\]

Thus, the final answer is:
\[
-5 \frac{13}{30}
\]
Answered by GPT-4o mini
Sure! Let's simplify the addition without any complicated formatting.

To add \(-1 \frac{3}{10} + (-4 \frac{2}{15}\):

1. Convert the mixed numbers to improper fractions:
- For \(-1 \frac{3}{10}\):
This is equal to \(-\frac{13}{10}\).
- For \(-4 \frac{2}{15}\):
This is equal to \(-\frac{62}{15}\).

2. Now we have:
- \(-\frac{13}{10} + (-\frac{62}{15})\).

3. Find a common denominator for the two fractions. The least common multiple of 10 and 15 is 30.

4. Convert each fraction:
- \(-\frac{13}{10}\) becomes \(-\frac{39}{30}\) (by multiplying the numerator and denominator by 3).
- \(-\frac{62}{15}\) becomes \(-\frac{124}{30}\) (by multiplying the numerator and denominator by 2).

5. Now add the two fractions:
- \(-\frac{39}{30} + (-\frac{124}{30}) = -\frac{163}{30}\).

6. To convert \(-\frac{163}{30}\) back to a mixed number:
- Divide 163 by 30, which equals 5 with a remainder of 13.
- So, \(-\frac{163}{30}\) is equal to \(-5 \frac{13}{30}\).

The final answer is:
\(-5 \frac{13}{30}\).
Answered by GPT-4o mini
I apologize for that! Here’s the solution presented simply and clearly:

To add -1 3/10 + (-4 2/15):

1. First, convert the mixed numbers to improper fractions:

- For -1 3/10:
- This is equal to - (10 + 3) / 10 = - 13/10.

- For -4 2/15:
- This is equal to - (4 * 15 + 2) / 15 = - 62/15.

2. Now we have:
- -13/10 + (-62/15).

3. Next, find a common denominator. The least common denominator of 10 and 15 is 30.

4. Convert each fraction:
- For -13/10, multiply numerator and denominator by 3 to get -39/30.
- For -62/15, multiply numerator and denominator by 2 to get -124/30.

5. Now add the fractions:
- (-39/30) + (-124/30) = - (39 + 124) / 30 = -163/30.

6. To convert -163/30 to a mixed number:
- 163 divided by 30 is 5 with a remainder of 13.
- So, -163/30 is equal to -5 13/30.

Final answer:
**-5 13/30**