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Anton [14]
3 years ago
7

Combine and Simplify: 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3 WRITE 2 WAYS!

Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0

Answer:

Combining and simplifying 48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3}) we get  \mathbf{-4x-34y-32} or we can write as \mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}

Step-by-step explanation:

We need to combine and simplify

48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})

First we will combine like terms and then perform the mathematical operations like addition or subtraction.

<u>Like terms</u>: terms having same variable

48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})

Now we take LCM of like terms

=48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})\\=48(\frac{x*3-2x*2}{12} +\frac{-y*8-3y*3}{24}- \frac{2}{3})\\=48(\frac{3x-4x}{12} +\frac{-8y-9y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} +\frac{-17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})

Now, we can multiply 48 with terms inside the bracket.

we can simplify the terms if they are both divisible by same number.

=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} )-48(\frac{17y}{24})-48(\frac{2}{3}))\\=-4x-34y-32

So, Combining and simplifying 48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3}) we get  \mathbf{-4x-34y-32} or we can write as \mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}

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