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3 years ago

12

Drag the numbers to order them from least to greatest. 4 1/2 2/3 1/4 1/2 2 1/3

2 answers:

rusak2 [61]3 years ago

8 0

Answer: from LEAST to GREATEST

-4 1/2, -1/2, 1/4, 2/3, 2 1/3

maks197457 [2]3 years ago

4 0

Is these 41/2,2/3,1/4,1/2,21/3 The first thing, calculate m.c.m of these denominator
2=2
3=3
4=2.2
12
246/12,8/12,3/12,3/12,6/12,84/12, In order is like this
246/12,84/12,8/12,6/12,3/12
41/2>21/3>2/3>1/2>1/4 0r
1/4<1/2<2/3<21/3<41/2

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amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

$\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =$

Applying double C we have:

$\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =$

By definition of multiplication of powers of the same base we have to place the same base and add the exponents: $\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =$

Canceling common terms:

$\frac {mn ^ 5} {p ^ 4}$

Answer:

Option A

Question 2:

We should simplify the following expression:

$\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}$

So, we have:

$\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =$

Simplifying common terms:

$\frac {1} {y ^ 2z ^ 2}$

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

<em> $r ^ 2 + 7r + 10$ : </em>We look for two numbers that multiplied give 10 and added 7:

$(r + 5) (r + 2)$

<em> $r ^ 2-5r-50:$ </em> We look for two numbers that multiplied give -50 and added -5:

$(r-10) (r + 5)$

<em> $3r-30 = 3 (r-10)$ </em>

Rewriting the given expression we have:

$\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =$

We simplify common terms in the numerator and denominator we have:

$(r + 2)$

Answer:

Option D

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