Question

7/8-5/6*9/20 с решением

Answer 1

Ответ:

1/2.

Объяснение:

7/8 - 5/6 · 9/20 = 1/2.

1. 5/6 · 9/20 = (5·9)/(6·20) = (1·3)/(2·4) =3/8;

2. 7/8 - 3/8 = 4/8 = 1/2.

Answer 2

To solve the expression 7/8 - 5/6 * 9/20, we need to follow the order of operations, which is commonly remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Let's break it down step by step:

1. Simplify the multiplication: 5/6 * 9/20 = (5 * 9) / (6 * 20) = 45/120 = 3/8.

Now the expression becomes 7/8 - 3/8.

2. Subtract the fractions: 7/8 - 3/8 = (7 - 3) / 8 = 4/8.

3. Simplify the resulting fraction: 4/8 can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 4. Both 4 and 8 are divisible by 4, so we get:

4/8 = (4 ÷ 4) / (8 ÷ 4) = 1/2.

Therefore, 7/8 - 5/6 * 9/20 equals 1/2.