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Add −1 3/10 +(−4 2/15) .....

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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.

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

  2. 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: \[ -5 \frac{13}{30} \]

dont put it in weird code

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: \(-5 \frac{13}{30}\).

ITS STILL IN WEIRD CODE MAKE IT NORMAL

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