To expand the expression \(-\frac{4}{6} (6a - 5)\), you'll need to distribute the term \(-\frac{4}{6}\) to both terms inside the parenthesis.
First, simplify \(-\frac{4}{6}\) to its lowest term. \(-\frac{4}{6}\) can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 2:
\(-\frac{4}{6} = -\frac{2 \times 2}{3 \times 2} = -\frac{2}{3}\)
Now, distribute \(-\frac{2}{3}\) to each term inside the parentheses:
\(-\frac{2}{3}\times6a + (-\frac{2}{3})\times(-5)\)
When you multiply \(-\frac{2}{3}\) by \(6a\), the 3 in the denominator and the 6 in the numerator can be simplified further by dividing both by 3:
\(-\frac{2}{3}\times6a = -2\times2a = -4a\)
When you multiply \(-\frac{2}{3}\) by \(-5\), you can just multiply the numerators and the denominators:
\(-\frac{2}{3}\times(-5) = \frac{2\times(-5)}{3} = \frac{-10}{3} = \frac{10}{3}\) (since a negative times a negative is a positive)
Putting both parts together, we have:
\(-4a + \frac{10}{3}\)
So the expanded form of \(-\frac{4}{6} (6a - 5)\) is \(-4a + \frac{10}{3}\).
Expand -4/6 (6a - 5 )
3 answers
What the heck say it in English please
Certainly! Let's break it down into simpler steps.
You have an expression: -4/6 (6a - 5). What you need to do is multiply each piece inside the parentheses by -4/6.
Let's make -4/6 a bit easier to work with by simplifying it. When you simplify -4/6, you divide both the top number (the numerator) and the bottom number (the denominator) by their greatest common factor, which in this case is 2. So, -4 divided by 2 is -2, and 6 divided by 2 is 3. Now, -4/6 simplifies to -2/3.
Next, take -2/3 and multiply it by each item inside the parentheses:
For the first term (6a), it looks like this:
-2/3 * 6a = -2 * 2a = -4a (because the 6 and the 3 cancel out partially, leaving you with 2 on the top).
For the second term (-5), it looks like this:
-2/3 * -5 = 10/3 (because a negative times a negative is a positive, and you just multiply the top numbers and the bottom numbers).
So, after multiplying, you get these two pieces: -4a and +10/3.
Put them together, and your final answer is:
-4a + 10/3
So, the expression -4/6(6a - 5) expanded is -4a plus 10/3.
You have an expression: -4/6 (6a - 5). What you need to do is multiply each piece inside the parentheses by -4/6.
Let's make -4/6 a bit easier to work with by simplifying it. When you simplify -4/6, you divide both the top number (the numerator) and the bottom number (the denominator) by their greatest common factor, which in this case is 2. So, -4 divided by 2 is -2, and 6 divided by 2 is 3. Now, -4/6 simplifies to -2/3.
Next, take -2/3 and multiply it by each item inside the parentheses:
For the first term (6a), it looks like this:
-2/3 * 6a = -2 * 2a = -4a (because the 6 and the 3 cancel out partially, leaving you with 2 on the top).
For the second term (-5), it looks like this:
-2/3 * -5 = 10/3 (because a negative times a negative is a positive, and you just multiply the top numbers and the bottom numbers).
So, after multiplying, you get these two pieces: -4a and +10/3.
Put them together, and your final answer is:
-4a + 10/3
So, the expression -4/6(6a - 5) expanded is -4a plus 10/3.