Question

which of the following fraction is not in its simplest form
a- 27/28
b- 13/33
c- 39/87
d- 14/9​

Answer 1

Answer:

39/87

Step-by-step explanation:

simplest form of 39/87 is 13/29

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Answer 2

Fraction 39/87 is not in its simplest form.

Option 'c' is the correct answer.

Its simplest form is 13/29.

Given:

• $a) \: \frac{27}{28}$
• $b) \: \frac{13}{33}$
• $c) \: \frac{39}{87}$
• $d) \: \frac{14}{9}$

To find:

• Find which of the fraction is not in its simplest form.

Solution:

Concept to be used:

• We know that, A fraction in its simplest form does not have any common factor in p and q, i.e. in numerator and denominator.Therefore, we can say that p and q are co-prime numbers.

Step 1:

Check for option 'c'.

The fraction is 39/87.

We know that there is a common factor in 39 and 87, so both the numbers are not co-prime numbers.

$\frac{39}{87} = \frac{3 \times 13}{3 \times 29}$

$\frac{39}{87} = \frac{13}{29}$

Now, it is in its simplest form.

Thus,

Fraction 39/87 is not in its simplest form.

Option 'c' is correct answer.

Let us check other options too.

Step 2:

Check for option 'a'.

The fraction is 27/28.

We know that there is no common factor in 27 and 28, so both are co-prime numbers.

Thus,

Fraction 27/28 is in its simplest form.

Step 3:

Check for option 'b'.

The fraction is 13/33.

We know that there is no common factor in 13 and 33, so both are co-prime numbers.

Thus,

Fraction 13/33 is in its simplest form.

Step 4:

Check for option 'd'.

The fraction is 14/9.

We know that there is no common factor in 14 and 9, so both are co-prime numbers.

Thus,

Fraction 14/9 is in its simplest form.

Learn more:

1) Write a mixed numbers for 20.108 and 12.82

https://brainly.in/question/47696389

2) Change into improper fraction 3 1/4

https://brainly.in/question/23489399

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