Question

А) 3/7*(1/4+4/9) Б) 4/5-1/4:5/6

Answer 1

А) 25/84-несократимая дробь
б) 0,24

Answer 2

A) 3/7*(1/4+4/9):

To solve this expression, we can start by simplifying the inner brackets and then proceed with the multiplication.

First, let's add the fractions inside the brackets:

1/4 + 4/9

To add these fractions, we need to find a common denominator, which is 36 in this case. Then we can rewrite the fractions with this common denominator:

1/4 = 9/36 4/9 = 16/36

Now we can add these fractions together:

9/36 + 16/36 = 25/36

Now that we have the sum of the fractions inside the brackets, we can proceed with the multiplication:

3/7 * 25/36

To multiply these fractions, we simply multiply the numerators together and the denominators together:

(3 * 25) / (7 * 36) = 75 / 252

So, the value of the expression 3/7*(1/4+4/9) is 75/252.

B) 4/5-1/4:5/6:

To solve this expression, we'll start by dealing with the division and then proceed with the subtraction.

First, let's deal with the division:

1/4 : 5/6

To divide by a fraction, we can multiply by its reciprocal. So, 1/4 divided by 5/6 is the same as 1/4 multiplied by 6/5:

1/4 * 6/5 = 6/20 = 3/10

Now that we have the result of the division, we can proceed with the subtraction:

4/5 - 3/10

To subtract these fractions, we need to find a common denominator, which is 10 in this case. Then we can rewrite the fractions with this common denominator:

4/5 = 8/10

Now we can subtract the fractions:

8/10 - 3/10 = 5/10 = 1/2

So, the value of the expression 4/5-1/4:5/6 is 1/2.

If you have any more questions or need further assistance, feel free to ask!