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Anon25 [30]
3 years ago
10

12/15 in simplest form

Mathematics
2 answers:
alex41 [277]3 years ago
3 0
\frac{12}{15} in simplest form:

First, find the greatest common factor (GCF) of 12, 15. 
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 15: 1, 3, 5, 15
The GCF is 3. 
Second, divide the numerator (12) by the GCF. / Your problem should look like: 12 ÷ 3 = 4
Third, divide the denominator (15) by the GCF. / Your problem should look like: 15 ÷ 3 = 5
Fourth, rewrite the fraction in the simplified form. / Your problem should look like: \frac{4}{5}

Answer: \frac{4}{5}

nexus9112 [7]3 years ago
3 0

Answer:

First, find the greatest common factor (GCF) of 12, 15. 

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 15: 1, 3, 5, 15

The GCF is 3. 

Second, divide the numerator (12) by the GCF. / Your problem should look like: 12 ÷ 3 = 4

Third, divide the denominator (15) by the GCF. / Your problem should look like: 15 ÷ 3 = 5

Fourth, rewrite the fraction in the simplified form. / Your problem should look like: 

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<h3><u>Question:</u></h3>

The present ages of Ram and Rehman are in the ratio 8:9. After 5 years, the ratio of their ages will be 9:10. Find their present ages.

<h3><u>Statement:</u></h3>

The present ages of Ram and Rehman are in the ratio 8:9. After 5 years, the ratio of their ages will be 9:10.

<h3><u>Solution:</u></h3>
  • Let the present age of Ram and Rehman be 8x years and 9x years respectively.
  • After 5 years, their ages will be 9x years and 10 years respectively.
  • Therefore, by the problem

\frac{8x + 5}{9x + 5}  =  \frac{9}{10}  \\  =  > 10(8x + 5) = 9(9x + 5) \\  =  > 80x + 50 = 81x + 45 \\  =  > 50 - 45 = 81x - 80x \\  =  > x = 5

  • So, the present age of Ram = 8x years = (8×5) years = 40 years
  • The present age of Rehman = 9x years = (9×5) years = 45 years
<h3><u>Answer:</u></h3>

The present ages of Ram and Rehman are 40 years and 45 years respectively.

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