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ikadub [295]
3 years ago
11

How do I subract fractions?

Mathematics
1 answer:
Aliun [14]3 years ago
4 0

How do you subtract fractions?

  • Make sure the bottom numbers (the denominators) are the same.
  • Subtract the top numbers (the numerators). Put the answer over the same denominator.
  • Simplify the fraction (if needed).

To Subtract Fractions with different denominators:

  • Find the Lowest Common Denominator (LCD) of the fractions.
  • Rename the fractions to have the LCD.
  • Subtract the numerators of the fractions.
  • The difference will be the numerator and the LCD will be the denominator of the answer.
  • Simplify the Fraction.

How to simplify a fraction:

  • Find a common factor of the numerator and denominator. ...
  • Divide both the numerator and denominator by the common factor.
  • Repeat this process until there are no more common factors.
  • The fraction is simplified when no more common factors exist.

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Describe and correct the error(s) made in each of the problems below.
ladessa [460]

Answer:

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

Step-by-step explanation:

<u>Errors in Algebraic Operations </u>

It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them

  • When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
  • When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
  • Not to confuse product of fractions with the sum of fractions. Rules are quite different

The first expression is

1-x / (5-x)(-x)=x-1 / x(x-5)

Let's arrange into format:

\displaystyle \frac{1-x}{(5-x)(-x)} =\frac{x-1 }{ x(x-5)}

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

Now for the second expression

5/s+2/5=2/s

Let's arrange into format

\displaystyle \frac{5}{s}+\frac{2}{5} =\frac{2}{s}

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

6 0
2 years ago
How do I solve this???
Llana [10]
You need to split the shape into two then measure the shapes like trapezoids use a+b/2(h) for the formula
5 0
3 years ago
The volume of the box is 60 cubic inches. What are<br> the length, width, and height of the box?
Serggg [28]

Answer: The volume is the product of the Length, Width, and Height: V = LWH.

Step-by-step explanation: We are given V = 240 in.3, and H = 6 in., and L = W + 3 in.

Thus 240 in.3 = (W+3 in.)*W*(6 in.) so W(W+3 in.) = 240 in.3 / 6 in. = 40 in.2

Using the distributive property and moving the constant to the left gives:

W2 + (3 in.)W - 40 in.2 = 0

This factors:

(W + 8 in.)(W - 5 in.) = 0

The first factor gives W = -8 in. which is nonsense because it is negative.

The second factor gives a valid answer of W = 5 in.

8 0
3 years ago
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