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grin007 [14]
3 years ago
14

What is the difference between 4 5/7 and 1 3/4?

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Answer:

The difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28

Step-by-step explanation:

First, to make it easier to subtract, let's change these numbers to improper fractions.

4 5/7 = 33/7

1 3/4 = 7/4

Now, we have to find the LCM (least common multiple) between 4 and 7.

4- 4, 8, 12, 16, 20, 24, 28, 32

7- 7, 14, 21, 28, 35, 42, 49

As you can see, the LCM is 28. So, lets change these fractions to have a denominator of 28.

33*4/ 7*4 = 132/ 28

7*7/ 4*7 = 49/ 28

>>132 - 49 = 83

So, the difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28

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The correct answer is: 2/5.

Explanation:

First you have to add the following expressions:

(\frac{3}{5}+\frac{1}{5}i)+(\frac{4}{5}-\frac{2}{5}i) \\ (\frac{3}{5}+ \frac{4}{5})+(\frac{1}{5}i-\frac{2}{5}i) \\= \frac{7}{5}-\frac{1}{5}i

Now subtract the above expression from (\frac{9}{5}-\frac{1}{5}i):

(\frac{9}{5}- \frac{1}{5}i) - (\frac{7}{5} -\frac{1}{5}i) \\ (\frac{9}{5} -\frac{7}{5}) + (\frac{1}{5}i -\frac{1}{5}i) \\ \frac{2}{5} \\


Hence the correct answer is 2/5.


7 0
3 years ago
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<u>Answer:</u>

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<u>Step-by-step explanation:</u>

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