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attashe74 [19]
4 years ago
6

Do you have any info on adding and dividing fractions?

Mathematics
2 answers:
Gennadij [26K]4 years ago
8 0
When you add fractions, you NEED to have the same denominator.

When you divide fractions, you do NOT need to have the same denominator.

\frac{a}{c} + \frac{b}{c} = \boxed{\bf{\frac{a+b}{c}}}

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \boxed{\bf{\frac{ad}{bc}}}

a, b, c, and d are variables. You can replace them with any number.
Law Incorporation [45]4 years ago
7 0
Adding and dividing fractions:

To add (and subtract) fractions, we need the same denominator. If both fractions that you are adding (or subtracting) do not have the same denominator, you will have to find the least common denominator of both of them.
If the fractions are:
\frac{2}{3} + \frac{1}{2}
3 × 1 = 3                              2 × 1 = 2
3 × 2 = 6                              2 × 2 = 4
                                            2 × 3 = 6
The least common denominator is 6
\frac{2*2}{3*2} + \frac{1*3}{2*3}
\frac{4}{6} +  \frac{3}{6} = \frac{7}{6} or 1\frac{1}{6}

For diving fractions, you do not need common denominators
You can multiply the first fraction by the second fraction's reciprocal.

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What is an equation of the line that passes through the point (3,-1) and is parallel to the line 5x+3y=6
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Answer:

y=-\frac{5}{3} x+4

Step-by-step explanation:

Since the line we are trying to study is parallel to the one given by the standard equation 5x + 3y = 6, it needs to have the same slope as this given line has. Let's write then this equation in slope-intercept so we can find what the slope is :

5x+3y=6\\3y=-5x+6\\y=-\frac{5}{3} x+\frac{6}{3} \\y=-\frac{5}{3} x+2

Then the slope of our line must also be "-5/3" in order to be parallel to the given line.

Now, since we also know a point (3, -1) through which the new line should go, we use the point-slope form of a line:

y-y_0=m(x-x_0)\\y-(-1)=-\frac{5}{3} (x-3)\\y+1=-\frac{5}{3} x+5\\y=-\frac{5}{3} x+4

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