Add −1 3/10 +(−4 2/15).

Answer 1

To add the two numbers \(-1 \frac{3}{10}\) and \(-4 \frac{2}{15}\), we can first convert them into improper fractions and then add them.

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

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

3. Now, we need to add \(-\frac{13}{10} + -\frac{62}{15}\).

4. To do this, we need a common denominator. The least common multiple of \(10\) and \(15\) is \(30\).

5. Rewrite each fraction with the common denominator of \(30\): \[ -\frac{13}{10} = -\frac{13 \times 3}{10 \times 3} = -\frac{39}{30} \] \[ -\frac{62}{15} = -\frac{62 \times 2}{15 \times 2} = -\frac{124}{30} \]

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

7. The fraction \(-\frac{163}{30}\) can be converted back to a mixed number:

   • Divide \(163\) by \(30\):
     • \(163 \div 30 = 5\) remainder \(13\)
   • So, \(-\frac{163}{30} = -5 \frac{13}{30}\)

Therefore, the sum of \(-1 \frac{3}{10} + (-4 \frac{2}{15})\) is:

\[ \boxed{-5 \frac{13}{30}} \]

Answer 2

could you not use speical charatcers and tell me in word form?

Answer 3

Sure! Here’s the solution in word form without special characters:

To add negative one and three tenths with negative four and two fifteenth, we can first convert these mixed numbers into improper fractions.

First, we take negative one and three tenths. To convert this into an improper fraction, we multiply one by ten, which gives us ten, and then we add three, resulting in thirteen. Therefore, this becomes negative thirteen over ten.

Next, we take negative four and two fifteenth. To convert this into an improper fraction, we multiply four by fifteen, which gives us sixty, and then we add two, resulting in sixty-two. Therefore, this becomes negative sixty-two over fifteen.

Now, we need to add negative thirteen over ten and negative sixty-two over fifteen. To do this, we need a common denominator. The least common multiple of ten and fifteen is thirty.

We will rewrite each fraction with the common denominator of thirty. For negative thirteen over ten, we multiply both the numerator and the denominator by three, which gives us negative thirty-nine over thirty. For negative sixty-two over fifteen, we multiply both the numerator and the denominator by two, which gives us negative one hundred twenty-four over thirty.

Now we can add these two fractions together. Negative thirty-nine over thirty plus negative one hundred twenty-four over thirty equals negative thirty-nine plus negative one hundred twenty-four over thirty, which is negative one hundred sixty-three over thirty.

Finally, we convert negative one hundred sixty-three over thirty back into a mixed number. Dividing one hundred sixty-three by thirty gives us five with a remainder of thirteen. Therefore, negative one hundred sixty-three over thirty becomes negative five and thirteen thirtieths.

So, the final result is negative five and thirteen thirtieths.