Question

3 3/4:(9a)=3 3/5:10/8

Answer 1

Ответ:

Пошаговое объяснение:

1) 3/4·1/9a = 1/12a

2)3·1/12a = 1/4a

3)3/5·4/5 = 12/25

4) 1/4a = 12/25

5) 3/25a

Answer 2

Ответ: А = 13.824.

Пошаговое объяснение:

3 ³/₄ : (9a)=3 ³/₅ : 10/8

15/4 : 9а = 18/5 : 5/4

5/12a = 144/25

A = 144/25 : 5/12

А = 13.824.

Answer 3

To solve the equation, we'll follow these steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Simplify both sides of the equation. Step 3: Solve for 'a'.

Given equation: 3 3/4 : (9a) = 3 3/5 : 10/8

Step 1: Convert mixed numbers to improper fractions. 3 3/4 = (4 * 3 + 3) / 4 = 15/4 3 3/5 = (5 * 3 + 3) / 5 = 18/5

Step 2: Simplify both sides of the equation. 15/4 : (9a) = 18/5 : 10/8

Step 3: Solve for 'a'. To eliminate the fraction on the right-hand side, we can take the reciprocal of 10/8, which means flipping the fraction:

15/4 : (9a) = 18/5 : 8/10

Now, cross-multiply: (15/4) * 8/10 = (18/5) * (9a)

Simplify: 6 * 4/5 = 18a

6 * 4 = 18a * 5

24 = 90a

Now, solve for 'a': a = 24/90

Reduce the fraction: a = 4/15

So, the value of 'a' that satisfies the equation is 4/15.