Math, asked by som710, 4 months ago

reduce in simple form 714/1386​

Answers

Answered by loriyaaich
6

Answer:

17/33

Step-by-step explanation:

(reducing in lowest term)

714/1386

357/693

119/231

17/33

Did it help u ??

Answered by payalchatterje
0

Answer:

Required simple form is  \frac{17}{33}

Step-by-step explanation:

Given,

 \frac{714}{1386}

Here we want to simplify the given term.

Here numerator is 714 and denominator is 1386.

First we need to break 714 and 1386 into prime numbers.

So,714 = 2 \times   3 \times 17 \times 7

and 1386 = 2  \times 3 \times 3 \times 7 \times 11

So,

 \frac{714}{1386}  =  \frac{2 \times 3 \times 17 \times 7}{2 \times 3 \times 3 \times 7 \times 11}

Here 2x3x7 is common in numerator and denominator.

So we are eleminating 2×3×7 from numerator and denominator.

Therefore  \frac{714}{1386}  =  \frac{17}{3 \times 11}  =  \frac{17}{33}

After simplication the given term is

 \frac{17}{33}

This is a problem of fraction.By this method,we can simplify any fraction.For example

 \frac{125}{300}  =  \frac{5 \times 5 \times 5}{2 \times 2 \times 3 \times 5 \times 5}  =  \frac{5}{2 \times 2 \times 3}  =  \frac{5}{12}

So, simple form of  \frac{125}{300} is  \frac{5}{12}

Similar questions