Which of the given option is the simplest form of 13860 18480 ? Options: A . &nbsp 1 2 B . &nbsp 3 4 C . &nbsp 1 4 D . &nbsp 3 2

Which of the given option is the simplest form of 1386018480 ?

Question

Which of the given option is the simplest form of $\frac{13860}{18480}$ ?

Options:

A .

\frac{1}{2}

B .

\frac{3}{4}

C .

\frac{1}{4}

D .

\frac{3}{2}

Answer: Option B
:
B

In order to reduce a fraction to its lowest terms, divide both numerator and denominator by their common factor.

$\frac{\frac{13860}{10}}{\frac{18480}{10}} = \frac{1386}{1848}$

$\frac{\frac{1386}{3}}{\frac{1848}{3}} = \frac{462}{616}$

$\frac{\frac{462}{11}}{\frac{616}{11}} = \frac{42}{56}$

$\frac{\frac{42}{7}}{\frac{56}{7}} = \frac{6}{8} = \frac{3}{4}$

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