Question

2 1/7 × x = 3 9/14 × 1,5

Answer 1

2 1/7 × x = 3 9/14 × 1,5|1,5=(15/10)=(3/2)
(15/7)х=(51/14)×(3/2)
(15/7)х=(51×3)/(14×2)=(153/28)|÷(15/7)
((15/7)÷(15/7)×х=(153/28)÷(15/7)
((15×7)/(7×15))×х=((51×3×7)/7×4×3×5)
х=(51/20)
х=2(11/20)

Answer 2

To solve the equation, we need to find the value of x. Let's begin by simplifying the given equation.

2 1/7 × x = 3 9/14 × 1.5

First, let's convert the mixed numbers into improper fractions:

2 1/7 = (2 × 7 + 1)/7 = 15/7

3 9/14 = (3 × 14 + 9)/14 = 51/14

Next, multiply the fractions:

(15/7) × x = (51/14) × 1.5

To simplify, we can cancel out common factors. In this case, both fractions have a factor of 7:

(15/1) × (1/1) × x = (51/2) × (1/1) × (1.5/1)

15x/1 = 51 × 1.5/2

Multiply the numerators and denominators:

15x = 76.5/2

To eliminate the fraction, multiply both sides of the equation by 2:

2 × 15x = 2 × (76.5/2)

30x = 76.5

Now, divide both sides by 30 to isolate x:

x = 76.5/30

Simplify the division:

x = 2.55

Therefore, the value of x is 2.55.