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solong [7]
3 years ago
6

Compare simplifying before multiplying fractions with simplifying after multiplying the fractions

Mathematics
2 answers:
Kipish [7]3 years ago
5 0
<span>We will start using a new way to indicate simplifying fractions. When a numerator or 
a denominator gets simplified, we will cross it out with a slash and write the new 
numerator or denominator next to it (either above it or below it).</span><span>The number you divide by (the 4) does not get indicated in any way! You only 
think about it in your mind: “I divide 12 by 4, and get 3. I divide 20 by 4, and get 5.”</span><span>You may not see any advantage over the “old” method yet, but this shortcut will 
come in handy soon.</span> <span />
Alika [10]3 years ago
4 0

Answer:

We can compare this using example:

Suppose the two fractions are \frac{20}{25} and \frac{12}{36}

<u>When we simplify before multiplying:</u>

\frac{20}{25} (dividing both numerator and denominator by 5) in simplified form becomes \frac{4}{5}

Similarly \frac{12}{36} becomes \frac{1}{3}

Now multiplying:

\frac{4}{5} \times\frac{1}{3} = \frac{4}{15}

<u>When we simplify after multiplying:</u>

\frac{20}{25} \times\frac{12}{36} = \frac{240}{900}

Now simplifying this:

Dividing both numerator and denominator by 10; we get

\frac{24}{90}

Now dividing by 2:

\frac{12}{45}

Now dividing by 3:

\frac{4}{15}

-----------------------------------------------------------------------------------------------

Now, we can see and compare that when we multiply after simplifying, the result is simplified and calculation is easier.

When we do not simplify and multiply at first, the results are bigger numbers and it is difficult to simplify bigger numbers.

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HELP PLS ASAP<br><br><br><br> -5 = 5/12a pls evaluate
Setler79 [48]

Answer:

a = -12

Remember that when a variable is times with a number, you <u>divide</u> the number on both sides.

When a variable is divided by a number, you <u>multiply</u> the number on both sides.

Hope this helps you. Thank you !!

6 0
3 years ago
In Triangle ABC, AC is extended through C to D. If
DENIUS [597]

Answer:

X  = 5 unit

Step-by-step explanation:

Given as , ABC is a Triangle ,

AC extended to through C to D

∠BAC = 6x + 10

∠ABC = 6x - 10

∠BCD = ∠ 8x + 20

When c extended to D then , ∠BCD is an external angle

∵ <u>External angle = Sum of opposite internal angles</u>

Or ,∠BCD = ∠BAC + ∠ABC

Or, ∠ 8x + 20 = 6x + 10 + 6x - 10

Or, ∠ 8x + 20 = 12x

Or, 12x - 8x = 20

∴ 4x = 20

So, x = \frac{20}{4} = 5

Hence the value of X = 5  unit  Answer

8 0
3 years ago
What is equivalent to the expression: (10g^3 - 8g^2 + 5g - 14) + (10g^2 + 12g)
irinina [24]
10g^3 - 8g^2 + 5g - 14 + 10g^2 + 12g
its just a matter of combining like terms
10g^3 + 2g^2 + 17g - 14
5 0
3 years ago
3 pounds of bannas cost $1.5 What is the costant of this proportionly that relates the cost in dollars y,to the number of pounds
Sergeu [11.5K]

Answer:

.50 cents per pound

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
In a math class, 12 people reported their grades on the last test. Here are their responses:
Murrr4er [49]

Answer:

(a) 23, 35, 28, 33, 5, 12, 40, 25, 20, 18, 1, 16

1, 5, 12, 16, 18, 20 23, 25, 28, 33, 35, 40

n = 12 M = (20 + 23)/ 2 = 21.5

Q1 = (12 + 16) / 2 = 14 Q3 = (28 + 33) /2 = 30.5

(b) 22, 33, 25, 28, 5, 12, 35, 23, 20, 18, 1, 40, 16

1, 5, 12, 16, 18, 20 | 22 | 23, 25, 28, 33, 35, 40

n = 13 M = 22 Q1 = 14 Q3 = 30.5

(c) 20, 28, 23, 25, 3, 5, 33, 22, 18, 16, 40, 1, 35, 12

1, 3, 5, 12, 16, 18, 20, 22, 23, 25, 28, 33, 35, 40

n = 14 M = (20 + 22)/2 = 21 Q1 = 12 Q3 = 28

(d) 20, 28, 23, 25, 3, 5, 30, 22, 18, 40, 16, 35, 1, 33, 12

1, 3, 5, 12, 16, 18, 20 | 22 | 23, 25, 28, 30, 33, 35, 40

n = 15 M = 22 Q1 = 12 Q3 = 30

hope this helps :)

5 0
3 years ago
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