Add −12/7+(3/14). Write your answer as a reduced improper fraction.(1 point)%0D%0A−12/7+(3/14)=

Answer 1

To add the fractions \(-\frac{12}{7}\) and \(\frac{3}{14}\), we first need a common denominator. The least common multiple of 7 and 14 is 14.

Next, we convert \(-\frac{12}{7}\) to a fraction with a denominator of 14:

\[ -\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14} \]

Now, we can add the two fractions:

\[ -\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14} \]

Now we can reduce \(\frac{-21}{14}\). Both numerator and denominator can be divided by 7:

\[ \frac{-21 \div 7}{14 \div 7} = \frac{-3}{2} \]

Thus, the answer is:

\[ -\frac{3}{2} \]

Answer 2

I dont understand that

Answer 3

No problem! Let's go through the steps slowly and clearly.

We want to add the fractions \(-\frac{12}{7}\) and \(\frac{3}{14}\).

Step 1: Find a common denominator

The denominators of the two fractions are 7 and 14. The least common denominator (LCD) is 14 because 14 is the smallest number that both 7 and 14 can go into.

Step 2: Convert \(-\frac{12}{7}\) to have the common denominator of 14

To convert \(-\frac{12}{7}\) to a fraction with a denominator of 14, we do the following:

• Multiply both the numerator and the denominator of \(-\frac{12}{7}\) by 2:

\[ -\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14} \]

Step 3: Rewrite the addition

Now we can rewrite the addition:

\[ -\frac{12}{7} + \frac{3}{14} = -\frac{24}{14} + \frac{3}{14} \]

Step 4: Add the fractions

Since both fractions now have the same denominator (14), we can add them together:

\[ -\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14} \]

Step 5: Simplify the fraction

Now we need to simplify \(-\frac{21}{14}\). Both the numerator (-21) and the denominator (14) can be divided by 7:

\[ \frac{-21 \div 7}{14 \div 7} = \frac{-3}{2} \]

Final Answer

So, the result of adding \(-\frac{12}{7} + \frac{3}{14}\) is:

\[ -\frac{3}{2} \]

If you have any questions about specific steps, feel free to ask!

Answer 4

What is -\frac{3}{2}?

Answer 5

The expression \(-\frac{3}{2}\) represents a negative fraction.

Here’s what it means:

1. Fraction Basics: The number \(\frac{3}{2}\) is a fraction that indicates how many parts you have out of a whole. Specifically, it means you have 3 parts out of 2, which is more than a whole (it can also be expressed as 1.5 in decimal form).

2. Negative Sign: The negative sign in front of the fraction indicates that the value is negative. Thus, \(-\frac{3}{2}\) means you have a measure of negative one and a half.

3. Decimal Form: If converted to decimal form, \(-\frac{3}{2}\) is equal to \(-1.5\).

4. Interpretation: If you're thinking in terms of a number line, \(-\frac{3}{2}\) is located one and a half units to the left of zero.

5. Improper Fraction: It is also categorized as an improper fraction because the numerator (3) is larger than the denominator (2).

In summary, \(-\frac{3}{2}\) indicates a value that is one and a half units below zero, or mathematically, \(-1.5\).