Question

( 3 1/8 + 1 3/4) • x = 2 1/2

Answer 1

Ответ:

x=20/39

Пошаговое объяснение:

сначала нужно раскрыть скобки, потом перенести все вправо, х влево, правую часть вычислить

Answer 2

Ответ:

х=20/39..............

Answer 3

To solve for x in the equation:

(3 1/8 + 1 3/4) * x = 2 1/2

First, we need to add the fractions on the left side of the equation:

3 1/8 + 1 3/4 = 25/8 + 7/4

To add these fractions, we need a common denominator. The least common denominator (LCD) is 8, so we'll rewrite 7/4 with a denominator of 8:

3 1/8 + 1 3/4 = 25/8 + (7/4 * 2/2) = 25/8 + 14/8

Now, we can add the fractions:

25/8 + 14/8 = 39/8

So, the equation becomes:

(39/8) * x = 2 1/2

Now, convert 2 1/2 to an improper fraction:

2 1/2 = 5/2

The equation now looks like:

(39/8) * x = 5/2

To solve for x, divide both sides by (39/8):

x = (5/2) / (39/8)

To divide by a fraction, multiply by its reciprocal:

x = (5/2) * (8/39)

Now, multiply the numerators and denominators:

x = (5 * 8) / (2 * 39)

x = 40/78

Now, simplify the fraction by finding the greatest common divisor (GCD) of 40 and 78, which is 2:

x = (40/2) / (78/2)

x = 20/39

So, the solution for x is 20/39.