Question

which of the following is a reducible fraction a)105/112 b)104/121 c)77/72 d)46/33​

Answer 1

Step-by-step explanation:

which of the following is a reducible fraction of an a105 by 112 option b104 by 121 option C 77 by 72 option d 46 by 63

Answer 2

a) 105/112 is a reducible fraction

Given:

a)105/112 b)104/121 c)77/72 d)46/33​

To find:

To check which of the following is a reducible fraction

Solution:

A fraction is said to be reducible if there is a common factor that divides the two numbers to get them to a simpler fraction.

The common factor is got by finding their HCF. If the HCF is 1 we say that the fraction is in simplest form.

We will check all of the options given:

a) 105/112

The HCF of 105 and 112 = 7

$\frac{\frac{105}{7} }{\frac{112}{7} } = \frac{15}{16}$

As we can reduce this to a simpler form

We say that it is a reducible fraction

b) 104/121

The HCF of 104 and 121 = 1

This means they can't be further reduced to a simpler form,

Hence, it is not a reducible fraction.

c) 77/72

The HCF of 77 and 72 = 1

This means they can't be further reduced to a simpler form,

Hence, it is not a reducible fraction.

d) 46/33

The HCF of 46 and 33 = 1

This means they can't be further reduced to a simpler form,

Hence, it is not a reducible fraction.

∴ option a) 105/112 is a reducible fraction

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