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3 years ago

9 3/10 - 5 3/4 as a mixed number in simplest form

Mathematics

2 answers:

Artemon [7]3 years ago

6 0

Answer:

3 1/20

Step-by-step explanation:

First, we will convert the mixed numbers into improper fractions...

9 3/10 (9*10=90+3=93) so the improper fraction is 93/10

5 3/4 (5*4=20+3=23) therefore the improper fraction is 23/4

We then want to make the denominator the same...

93/10 (*4) = 372/40

23/4 (*10) = 230/40

We then put it into the question...

372/40 - 230/40 = 142/40

Lastly, we now need to turn this into a mixed number...

142/40=3.55 so the answer is 3 2/40

3 2/40 in it's simplest form is 3 1/20

Hope this helps!

Allisa [31]3 years ago

4 0

Answer:

71/20 or 3 $\frac{11}{20}$

Step-by-step explanation:

→ 9 $\frac{3}{10}$ = 9 * 10 + 3 / 10

9 $\frac{3}{10}$ = 93/10

→ 5 $\frac{3}{4}$ = 5 * 4 + 3 / 4

5 $\frac{3}{4}$ = 23/4

Making the denominators alike;

93 * 4/ 10 * 4 = 372/40

23 * 10 / 4 * 10 = 230/40

93/10 - 23/4 = 372/40 - 230/40

= 142/40

= 71 / 20 (simplifying by dividing both by 2) OR 3 $\frac{11}{20}$

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If the given quadratic expression is of the form $ax^2 + bx + c$

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

$b = \alpha + \beta \\ ac =\alpha \times \beta$

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, we're provided the expression:

$x^2 -7x + 10$

We can write 10 as multiple of -5 and -2 and

we can write -7 as sum of -5 and -2. Thus, we get:

$x^2 -7x + 10 = x^2 -5x - 2x + 10 = x(x-5+ -2(x-5) = (x-2)(x-5)$

Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

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