Question

reduce the fraction 714/1386 in its simplest form​

Answer 1

Answer:

17/33

Step-by-step explanation:

(divide by 2 we get)

357/693

divide by 3

119/231

divide by 7

17/33

so the ans is 17/33 (17 is a prime number)

hope it helps you☺️☺️☺️☺️

Answer 2

Answer:

Required simplest form of the 714/1386 is $\frac{17}{33}$

Step-by-step explanation:

Given,

$\frac{714}{1386}$

Here we need to covert to it in the simplest form .

This is a problem of fraction of Algebra.

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

By prime factorisation,

$714 = 2 \times 3 \times 7 \times 17$

and

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

So,

$\frac{714}{1386} \\ = \frac{2 \times 3 \times 7 \times 17}{2 \times 3 \times 7 \times 3 \times 11} \\ = \frac{17}{3 \times 11} \\ = \frac{17}{33}$

Required simplest form of the given term is $\frac{17}{33}$

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

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2) https://brainly.in/question/1169549