Question

(7-3/4)*1/3 = 15 3/8 * 4 1/6 -4 1/6* 15 3/8 = 10 5/11* 4 1/3 + 10 5/11 * 6 2/3 = Используйте распределительное свойство

Answer 1

Ответ:

Пошаговое объяснение:

(7-3/4)*1/3 =6 1/4*1/3=25/4*1/3=25/12=

2 1/12

15 3/8 * 4 1/6 -4 1/6* 15 3/8 =4 1/6(15 3/8-15 3/8)=4 1/6*0=0

10 5/11* 4 1/3 + 10 5/11 * 6 2/3 =

10 5/11(4 1/3+6 2/3)=115/11*11=115

Answer 2

To solve the given expressions using the distributive property, we'll follow these steps:

Step 1: Simplify both sides of the first equation using the distributive property. Step 2: Simplify both sides of the second equation using the distributive property. Step 3: Simplify both sides of the third equation using the distributive property.

Let's start with the first equation:

1. (7 - 3/4) * 1/3

Step 1: Apply the distributive property. (7 * 1/3) - (3/4 * 1/3)

Step 2: Simplify. (7/3) - (1/4)

Step 3: Find a common denominator (12) and combine the fractions. (28/12) - (3/12) = (25/12)

So, (7 - 3/4) * 1/3 = 25/12

Next, let's move on to the second equation:

2. 15 3/8 * 4 1/6 - 4 1/6 * 15 3/8

Step 1: Apply the distributive property. (15 * 4) + (15 * 1/6) - (3 * 15) - (3 * 1/8)

Step 2: Simplify. 60 + (15/6) - 45 - (3/8)

Step 3: Convert the mixed numbers to improper fractions and combine the fractions. 60 + 2.5 - 45 - 0.375 = 17.125

So, 15 3/8 * 4 1/6 - 4 1/6 * 15 3/8 = 17.125

Lastly, let's proceed to the third equation:

3. 10 5/11 * 4 1/3 + 10 5/11 * 6 2/3

Step 1: Apply the distributive property. (10 * 4) + (10 * 1/3) + (5/11 * 4) + (5/11 * 2/3)

Step 2: Simplify. 40 + (10/3) + (20/11) + (10/33)

Step 3: Find a common denominator (33) and combine the fractions. (120/33) + (110/33) + (20/11) + (10/33) = (260/33) + (20/11)

Step 4: Convert 260/33 to a mixed number. 260 ÷ 33 = 7 with a remainder of 11. So, 260/33 = 7 11/33.

Now we have: 7 11/33 + 20/11

Step 5: Find a common denominator (33) and combine the fractions. (253/33) + (60/33) = (253 + 60)/33 = 313/33

Step 6: Convert 313/33 to a mixed number. 313 ÷ 33 = 9 with a remainder of 26. So, 313/33 = 9 26/33.

So, 10 5/11 * 4 1/3 + 10 5/11 * 6 2/3 = 9 26/33

Using the distributive property, we have found the simplified expressions for each equation:

1. (7 - 3/4) * 1/3 = 25/12
2. 15 3/8 * 4 1/6 - 4 1/6 * 15 3/8 = 17.125
3. 10 5/11 * 4 1/3 + 10 5/11 * 6 2/3 = 9 26/33