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Reduce $$\frac{{128352}}{{238368}}$$  to its lowest terms.

A. $$\frac{{3}}{{4}}$$

B. $$\frac{{5}}{{13}}$$

C. $$\frac{{7}}{{13}}$$

D. $$\frac{{9}}{{13}}$$

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{128352}}\overline {)238368{\text{(}}} 1 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{128352}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\overline {110016{\text{)128352(}}} 1 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,110016 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\overline {183336{\text{)110016(}}} {\text{6}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{{110016}}{ \times } \cr & {\text{So, H}}{\text{.C}}{\text{.F of 128352 and 238368}} \cr & {\text{ = 18336}} \cr & \therefore \frac{{128352}}{{238368}} = \frac{{128352 \div 18336}}{{238368 \div 18336}} = \frac{7}{{13}} \cr} $$

This Question Belongs to Arithmetic Ability >> Problems On H.C.F And L.C.M

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Comments ( 2 )

  1. Maheswar Kabi
    Maheswar Kabi :
    6 years ago

    Super idea

  2. GOKUL KIRAN
    GOKUL KIRAN :
    6 years ago

    How u got 110016

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