Question

3/4:7/8; 3-2/3*3/7;2/3+1/9

Answer 1

1) 3/4:7/8 = 24/28 = 6/7
2)3-2/3*3/7 = 3 - 2/7 = 2 5/7
3) 2/3+1/9 ( умножим 2/3 на 3 )
6/9 + 1/9 = 7/9

Answer 2

Let's solve the given mathematical expressions:

1. 3/4 divided by 7/8: To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, (3/4) ÷ (7/8) can be written as (3/4) * (8/7). Multiplying the numerators and denominators, we get: (3 * 8) / (4 * 7) = 24/28. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4: 24/28 = 6/7. Therefore, 3/4 divided by 7/8 is equal to 6/7.

2. 3 - 2/3 * 3/7: We need to perform the multiplication and subtraction in the correct order according to the order of operations (also known as PEMDAS). First, let's evaluate the multiplication: (2/3) * (3/7). Multiplying the numerators and denominators, we get: (2 * 3) / (3 * 7) = 6/21. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3: 6/21 = 2/7. Now we can subtract 2/7 from 3: 3 - 2/7 = 21/7 - 2/7 = 19/7. Therefore, 3 - 2/3 * 3/7 is equal to 19/7.

3. 2/3 + 1/9: To add fractions, we need to have a common denominator. In this case, the common denominator is 9. So, we convert both fractions to have a denominator of 9: (2/3) * (3/3) = 6/9, (1/9) * (1/1) = 1/9. Now, we can add the fractions: 6/9 + 1/9 = 7/9. Therefore, 2/3 + 1/9 is equal to 7/9.