Question

1 1/2 * 2 10/13 + 2 3/4 *2 10/13 - 2 10/13 *3 1/6

Answer 1

Это степени, я правильно поняла?

Answer 2

To solve the expression "1 1/2 * 2 10/13 + 2 3/4 * 2 10/13 - 2 10/13 * 3 1/6", we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the expression step by step:

1. Multiplication:

1 1/2 * 2 10/13 = (3/2) * (33/13) = (3 * 33) / (2 * 13) = 99/26

2. Multiplication:

2 3/4 * 2 10/13 = (11/4) * (33/13) = (11 * 33) / (4 * 13) = 363/52

3. Multiplication:

2 10/13 * 3 1/6 = (36/13) * (19/6) = (36 * 19) / (13 * 6) = 684/78

Now, let's substitute the values back into the original expression:

99/26 + 363/52 - 684/78

To add or subtract fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 26, 52, and 78 is 156.

Converting all the fractions to have a denominator of 156:

99/26 = (99 * 6) / (26 * 6) = 594/156

363/52 = (363 * 3) / (52 * 3) = 1089/156

684/78 = (684 * 2) / (78 * 2) = 1368/156

Now, we can add and subtract the fractions:

594/156 + 1089/156 - 1368/156 = (594 + 1089 - 1368) / 156 = 315/156

The fraction 315/156 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3:

315/156 = (315/3) / (156/3) = 105/52

Therefore, the simplified result is 105/52.