Question

Compare the rational numbers and choose the correct option.

$\frac{39}{26}$ ___$\frac{6}{4}$

• A. >
• B. <
• C. =
• D. None of the above

Answer 1

The correct option is C

=

Reducing $\frac{39}{26}$ to its lowest form, we get,

$\frac{39÷13}{26÷13}$ = $\frac{3}{2}$ (13 is the common factor)

Multiplying the numerator and the denominator by 2 we get,

$\frac{3\times 2}{2\times 2}$ = $\frac{6}{4}$

Hence, $\frac{39}{26}$ is also equal to $\frac{6}{4}.$

So, both the fractions are equal.

Hence, $\frac{39}{26}=\frac{6}{4}$