Get detailed and accurate answers to your questions on IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of experienced experts.

What is (6/7)/(2/7)?

Sagot :

To find the value of;

[tex]\frac{(\frac{6}{7})}{(\frac{2}{7})}[/tex]

When dividing fractions, for example a divided by b is equals a times 1/b;

[tex]a\text{ divided by b = a }\times\frac{1}{b}[/tex]

note that the divisor which is b is inversed and multiplied.

So, let us apply the same rule to the given question.

The divisor which is the second fraction for the question is 2/7, we need to inverse 2/7 and multiply it by the first fraction.

The inverse of 2/7 is 7/2, So;

[tex]\frac{(\frac{6}{7})}{(\frac{2}{7})}=\text{ }\frac{6}{7}\times\frac{7}{2}=\frac{(6\times7)}{(7\times2)}=\frac{42}{14}[/tex]

And finally;

[tex]\frac{42}{14}=3[/tex]

Therefore the final answer is 3.

[tex]\frac{(\frac{6}{7})}{(\frac{2}{7})}=\text{ 3}[/tex]