Question

Х:2 целых 13/36=27/85:1/4 пропорция, решите уравнения заранее спасибо​

Answer 1

Ответ:

Пошаговое объяснение:

х : 2 13/36=27/85 : 1/4

1/4х=2 13/36 * 27/85

1/4х= 85/36 * 27/85

1/4х= 27/36

1/4х= 3/4

х= 3/4 : 1/4

х= 3/4 * 4

х= 3

Answer 2

Solving the Proportion Equation

To solve the proportion equation 2 13/36 = 27/85 : 1/4, we can follow these steps:

1. Convert mixed numbers to improper fractions. 2. Solve the proportion equation using the cross-multiplication method.

Let's start by converting the mixed number 2 13/36 to an improper fraction.

Converting Mixed Number to Improper Fraction

To convert the mixed number 2 13/36 to an improper fraction, we can use the following formula: \[ \text{improper fraction} = \text{whole number} \times \text{denominator} + \text{numerator} \]

So, for 2 13/36: \[ 2 \times 36 + 13 = 85 \]

So, 2 13/36 as an improper fraction is 85/36.

Now, let's solve the proportion equation using the cross-multiplication method.

Solving the Proportion Equation

The proportion equation is: \[ \frac{85}{36} = \frac{27}{85} : \frac{1}{4} \]

Using the cross-multiplication method, we can solve it as follows: \[ \frac{85}{36} \times \frac{1}{4} = \frac{27}{85} \times x \]

Solving for x: \[ \frac{85 \times 1}{36 \times 4} = \frac{27 \times x}{85} \] \[ \frac{85}{144} = \frac{27x}{85} \]

Now, we can solve for x by cross-multiplying: \[ 85 \times 85 = 144 \times 27x \] \[ 7225 = 3888x \] \[ x = \frac{7225}{3888} \] \[ x = 1.857 \]

So, the solution to the proportion equation 2 13/36 = 27/85 : 1/4 is x = 1.857.