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sergey [27]
3 years ago
10

How does the relationship between multiplication and division help you divide rational numbers?

Mathematics
2 answers:
marin [14]3 years ago
5 0

To divide rational numbers, you turn the division problem into a multiplication problem by flipping the second rational number. Then you go ahead and multiply the tops and bottoms together to get your answer. If you can simplify your problem before multiplication, you can go ahead and do so to make your problem easier.


Kisachek [45]3 years ago
3 0
A rational number is one which can be represented using fractions. The opposite of division is multiplication and vice versa. Knowing this information, you can easily go about turning a division of two fractions into the multiplication of two fractions.
Ex.
(1/2) / (3/4) = ?
multiply the denominator of your fraction by the reciprocal of the denominator.
(1/2)*(4/3) / (3/4)*(4/3)
(4/6) / 1 = 4/6
So when dividing rational numbers, you can multiply the denominator by its reciprocal. This would be an example of converting a division problem into a multiplication one
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What is the lcm of two numbers if one number is a multiple of the other
bogdanovich [222]

If one number is the multiple of another number, then the L.C.M. will be the smaller number (the number whose multiple the other number is).

6 0
2 years ago
(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.
Alexxandr [17]
Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference

(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3

(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3
4 0
3 years ago
Verify that [tan(theta) + cot(theta)]^2 = sec^2(theta) + csc^2(theta)
Wittaler [7]

(tanθ + cotθ)² = sec²θ + csc²θ

<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ

<u>Evaluate middle term</u>: 2tanθcotθ = 2*\frac{sin\theta}{cos\theta}*\frac{cos\theta}{sin\theta} = 2

⇒ tan²θ + 2+ cot²θ

= tan²θ + 1 + 1 + cot²θ

<u>Apply trig identity:</u>  tan²θ + 1 = sec²θ

⇒ sec²θ + 1 + cot²θ

<u>Apply trig identity:</u>  1 + cot²θ = csc²θ

⇒ sec²θ + csc²θ

Left side equals Right side so equation is verified


7 0
2 years ago
Which shows the correct way to use the rule ""multiply by the reciprocal"" for the expression below? 7 divided by StartFraction
guajiro [1.7K]

Given:

The expression is \dfrac{7}{\frac{5}{8}}.

To find:

The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.

Solution:

According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then

\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}

We have,

\dfrac{7}{\frac{5}{8}}

It can be written as

\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}

Using the rule "multiply by the reciprocal", we get

\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}

\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}

\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}

Therefore, the correct option is D.

5 0
3 years ago
Read 2 more answers
Which equation represents the line shown on the coordinate grid below?
kondor19780726 [428]
I thinks it’s A or C )) but it’s not b or d, I’m pretty sure. So imma go with A or c
5 0
2 years ago
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