Question

15/32 X 24/30 ?

1) 3/8
2) 2/5
3) 3/16
4) 4/5
​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Value of (15/32 X 24/30) is $\frac{3}{8}$.

So, option (1) is the correct answer.

Step-by-step explanation:

Here given,

$\frac{15}{32} \times \frac{24}{30}$

This is a problem of fraction of Algebra.

By prime factorisation,

$15 = 3 \times 5 \\ 24 = 2 \times 2 \times 2 \times 3 \\ 32 = 2 \times 2 \times 2 \times 2 \times 2 \\ 30 = 2 \times 3 \times 5$

Now,

$\frac{15}{32} \times \frac{24}{30} \\ = \frac{3 \times 5}{2 \times 2 \times 2 \times 2 \times 2} \times \frac{2 \times 2 \times 2 \times 3}{2 \times 3 \times 5} \\ = \frac{3}{2 \times 2 \times 2} \\ = \frac{3}{8}$

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,

1) https://brainly.in/question/13024124

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