Question

1. Simplify: 2/25 × 5/18 × 14/6 × 3/7​

Answer 1

The given data in the question is

$\frac{2}{25} \times \frac{5}{18} \times \frac{14}{6} \times\frac{3}{7}$

We have to find the value of given expression

$\frac{2}{25} \times \frac{5}{18} \times\frac{14}{6} \times\frac{3}{7}$

Dividing $25$ by $5$, we get,

$\frac{2}{5} \times\frac{1}{18} \times\frac{14}{6} \times\frac{3}{7}$

Dividing $18$ by $3$ and $14$ by$7$ we get,

$\frac{2}{5} \times\frac{1}{6} \times\frac{2}{6}\times\frac{1}{1}$

By multiplying numerator value with numerator value and denominator value with denominator we get,

$\frac{4}{36\times 5}$ , dividing $36 by 4$, we get $\frac{1}{45}$

Therefore, $\frac{1}{45}$ is a required value.

Answer 2

To simplify : $\frac{2}{25} \times \frac{5}{18} \times \frac{14}{6 } \times\frac{3}{7}$

Solution :

• Multiplication is a process of repetitive addition of integers.
• Multiplication rules for integers :

1. If two negative integers are multiplied then the product obtained is positive integer. i.e. $(-) \times(-)=+$
2. If one negative and one positive integers are multiplied then the product obtained is negative integer. i.e. $(-) \times(+)=-$
3. If both positive integers are multiplied then the product obtained is positive integer. i.e. $(+) \times(+)=+$

• Therefore according to above rule we solve .

• $\frac{2}{25} \times \frac{5}{18} \times \frac{14}{6 } \times\frac{3}{7}$  

        $= \frac{1}{45}$

Hence, $\frac{1}{45}$  is the product.