Question

Выполни в числителе преобразований определенному закону и сократи дробь 24×10-24×4 / 36×48​

Answer 1

$\dfrac{24\cdot10-24\cdot4}{36\cdot48}=\dfrac{24(10-4)}{36\cdot48}=\dfrac{6}{36\cdot2}=\dfrac1{6\cdot2}=\dfrac1{12}$

Answer 2

Solving the Expression and Simplifying the Fraction

To solve the given expression and simplify the fraction, we can follow these steps:

1. First, calculate the numerator of the fraction: - \(24 \times 10 - 24 \times 4\)

2. Then, calculate the denominator of the fraction: - \(36 \times 48\)

3. Next, simplify the fraction by dividing the numerator by the denominator.

Let's proceed with the calculations.

Calculating the Numerator

The numerator of the fraction is obtained by subtracting the product of 24 and 4 from the product of 24 and 10.

The calculation is as follows: \[24 \times 10 - 24 \times 4\]

The result of this calculation is: \[240 - 96 = 144\]

Calculating the Denominator

The denominator of the fraction is the product of 36 and 48.

The calculation is as follows: \[36 \times 48\]

The result of this calculation is: \[1728\]

Simplifying the Fraction

Now, we can simplify the fraction by dividing the numerator by the denominator: \[\frac{144}{1728}\]

This fraction can be further simplified by finding the greatest common divisor (GCD) of the numerator and the denominator, and then dividing both the numerator and the denominator by the GCD.

After simplifying, the fraction becomes: \[\frac{1}{12}\]

So, the simplified value of the given expression is 1/12.