To add the fractions \(-1 \frac{3}{10}\) and \(-4 \frac{2}{15}\), let's first convert the mixed numbers into 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: \[ -\frac{13}{10} + -\frac{62}{15} \] Next, we need a common denominator to combine these fractions. The least common multiple of \(10\) and \(15\) is \(30\). 3. **Convert \(-\frac{13}{10}\) to a denominator of \(30\)**: \[ -\frac{13}{10} = -\frac{13 \times 3}{10 \times 3} = -\frac{39}{30} \] 4. **Convert \(-\frac{62}{15}\) to a denominator of \(30\)**: \[ -\frac{62}{15} = -\frac{62 \times 2}{15 \times 2} = -\frac{124}{30} \] Now we can add the two fractions: \[ -\frac{39}{30} - \frac{124}{30} = -\frac{39 + 124}{30} = -\frac{163}{30} \] Finally, we can convert \(-\frac{163}{30}\) back to a mixed number: \[ -163 \div 30 = -5 \text{ remainder } 13 \] Thus, \(-\frac{163}{30} = -5 \frac{13}{30}\). So the final answer is: \[ -\frac{163}{30} \text{ or } -5 \frac{13}{30} \]

To add \(4.6\) and \(-9.04\), you can treat it as a regular addition problem: \[ 4.6 + (-9.04) = 4.6 - 9.04 \] Next, you can align the decimal points for easier calculation: \[ \begin{array}{r} 4.60 \\ - 9.04 \\ \hline \end{array} \] Now perform the subtraction: 1. Subtract \(4.60\) from \(9.04\): - \(9.04 - 4.60 = 4.44\) Since \(9.04\) is larger than \(4.60\), the result will be negative: \[ 4.6 - 9.04 = -4.44 \] Thus, the final answer is: \[ \boxed{-4.44} \]

-1 3/10+ -4 2/ 15

To add the fractions \(-1 \frac{3}{10}\) and \(-4 \frac{2}{15}\), let's first convert the mixed numbers into improper fractions.

Convert \(-1 \frac{3}{10}\): \[ -1 \frac{3}{10} = -\left(1 \times 10 + 3\right)/10 = -\frac{10 + 3}{10} = -\frac{13}{10} \]
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: \[ -\frac{13}{10} + -\frac{62}{15} \]

Next, we need a common denominator to combine these fractions. The least common multiple of \(10\) and \(15\) is \(30\).

Convert \(-\frac{13}{10}\) to a denominator of \(30\): \[ -\frac{13}{10} = -\frac{13 \times 3}{10 \times 3} = -\frac{39}{30} \]
Convert \(-\frac{62}{15}\) to a denominator of \(30\): \[ -\frac{62}{15} = -\frac{62 \times 2}{15 \times 2} = -\frac{124}{30} \]

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

Finally, we can convert \(-\frac{163}{30}\) back to a mixed number: \[ -163 \div 30 = -5 \text{ remainder } 13 \] Thus, \(-\frac{163}{30} = -5 \frac{13}{30}\).

So the final answer is: \[ -\frac{163}{30} \text{ or } -5 \frac{13}{30} \]

what is 4.6+ -9.04

To add \(4.6\) and \(-9.04\), you can treat it as a regular addition problem:

\[ 4.6 + (-9.04) = 4.6 - 9.04 \]

Next, you can align the decimal points for easier calculation:

\[ \begin{array}{r} 4.60 \

9.04 \ \hline \end{array} \]

Now perform the subtraction:

Subtract \(4.60\) from \(9.04\):
- \(9.04 - 4.60 = 4.44\)

Since \(9.04\) is larger than \(4.60\), the result will be negative:

\[ 4.6 - 9.04 = -4.44 \]

Thus, the final answer is:

\[ \boxed{-4.44} \]