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34kurt
3 years ago
8

There are 205 total students in a school. 20% of the students are 5th

Mathematics
2 answers:
Slav-nsk [51]3 years ago
7 0

Answer:

41 students

Step-by-step explanation:

20% of 205 is 41

zimovet [89]3 years ago
5 0

Answer:

41 students

Step-by-step explanation:

We're trying to find what 20% of 205 is so:

We start by converting 20% to a fraction :

20% = 1/5

Then we have

20% of 205 = 1/5 x 205 = 1/5 x 205/1 = 205/5

Notice that 205 was rewritten as the fraction 205/1, and that to multiply two fractions together, you simply multiply the numerators and denominators.

In order to find the simplest form of 205/5 we cancel out the greatest common divisor of 205 and 5, which is 5:

205/5 = 41/1  

So there are 41 5th graders

 

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\frac { 26 }{ 4,340 } \\ \\ =\frac { 26 }{ 4\cdot { 10 }^{ 3 }+3\cdot { 10 }^{ 2 }+4\cdot { 10 }^{ 1 } } \\ \\ =\frac { 26 }{ 10\left( 4\cdot { 10 }^{ 2 }+3\cdot { 10 }^{ 1 }+4 \right)  } \\ \\ =\frac { 2\cdot 13 }{ 2\cdot 5\left( 4\cdot { 10 }^{ 2 }+3\cdot { 10 }^{ 1 }+4 \right)  } \\ \\ =\frac { 13 }{ 5\left( 4\cdot { 10 }^{ 2 }+3\cdot { 10 }^{ 1 }+4 \right)  }

\\ \\ =\frac { 13 }{ 5\left( 400+30+4 \right)  } \\ \\ =\frac { 13 }{ 2,000+150+20 } \\ \\ =\frac { 13 }{ 2,170 }

------

13/2170 = 0.006 (to 3 decimal places)
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