Question

5) 2 2/9×X=1 1/2. 6)1 13/75×Y=2/3​

Answer 1

Ответ находится во вложении.

Answer 2

To solve these equations, we need to isolate the variable X in the first equation and Y in the second equation. Here are the step-by-step solutions:

Equation 1: 2 2/9 × X = 1 1/2

Step 1: Convert the mixed numbers to improper fractions:

• 2 2/9 = (9 * 2 + 2) / 9 = 20/9
• 1 1/2 = (2 * 1 + 1) / 2 = 3/2

Now, the equation becomes:

(20/9) × X = 3/2

Step 2: To isolate X, divide both sides of the equation by (20/9):

X = (3/2) / (20/9)

To divide by a fraction, multiply by its reciprocal:

X = (3/2) * (9/20) X = (27/40)

So, X = 27/40.

Equation 2: 1 13/75 × Y = 2/3

Step 1: Convert the mixed number to an improper fraction:

• 1 13/75 = (75 * 1 + 13) / 75 = 88/75

Now, the equation becomes:

(88/75) × Y = 2/3

Step 2: To isolate Y, divide both sides of the equation by (88/75):

Y = (2/3) / (88/75)

Y = (2/3) * (75/88)

To simplify this fraction, you can find a common factor for 3 and 88:

3 = 3 88 = 8 * 11

The greatest common factor (GCF) is 1, so we can't simplify further:

Y = (2/3) * (75/88) Y = (150/264)

However, you can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 6:

Y = (150/6) / (264/6) Y = 25/44

So, Y = 25/44.