Question

7 7/9 - 4 1/12+2 3/4

Answer 1

Ответ:

7 7/9-4 1/12+2 3/4=7 28/36-4 3/36+2 27/36=7-4+2+(28/36-3/36+27/36)=5 52/36=6 16/36= 6 4/9

Пошаговое объяснение:

всё правильно

Answer 2

To perform this calculation, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions.

7 7/9 = (9 * 7 + 7) / 9 = 70/9 4 1/12 = (12 * 4 + 1) / 12 = 49/12 2 3/4 = (4 * 2 + 3) / 4 = 11/4

Step 2: Perform the subtraction and addition operations.

(70/9) - (49/12) + (11/4)

Step 3: Find a common denominator, which is the least common multiple (LCM) of 9, 12, and 4. The LCM of these denominators is 36.

Step 4: Rewrite each fraction with a denominator of 36.

(70/9) * (4/4) = 280/36 (49/12) * (3/3) = 147/36 (11/4) * (9/9) = 99/36

Step 5: Perform the calculations with the common denominator.

(280/36) - (147/36) + (99/36)

Step 6: Subtract and add the numerators.

(280 - 147 + 99) / 36

Step 7: Simplify the numerator.

(280 - 147 + 99) = 232

Step 8: The final fraction is 232/36.

Step 9: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 4.

(232/4) / (36/4) = 58/9

So, the result of the expression 7 7/9 - 4 1/12 + 2 3/4 is 58/9.

Answer 3

To solve the expression "7 7/9 - 4 1/12 + 2 3/4," you can follow these steps:

1. Convert all the mixed numbers to improper fractions.
2. Perform the subtraction and addition operations from left to right.

Let's break it down:

1. Convert mixed numbers to improper fractions:

   • 7 7/9 = (9 * 7 + 7)/9 = (63 + 7)/9 = 70/9
   • 4 1/12 = (12 * 4 + 1)/12 = (48 + 1)/12 = 49/12
   • 2 3/4 = (4 * 2 + 3)/4 = (8 + 3)/4 = 11/4

2. Perform the operations:

   70/9 - 49/12 + 11/4

Now, let's find a common denominator to add and subtract these fractions. The least common multiple (LCM) of 9, 12, and 4 is 36.

• To make the denominators 36:
  • 70/9 can be multiplied by 4/4 to get (70/9) * (4/4) = 280/36.
  • 49/12 can be multiplied by 3/3 to get (49/12) * (3/3) = 147/36.
  • 11/4 can be multiplied by 9/9 to get (11/4) * (9/9) = 99/36.

Now, the expression becomes:

(280/36) - (147/36) + (99/36)

3. Now, subtract and add the fractions:

   (280/36) - (147/36) + (99/36) = (280 - 147 + 99)/36 = 232/36

4. Simplify the fraction if possible. The greatest common divisor (GCD) of 232 and 36 is 4.

   (232/4) / (36/4) = 58/9

So, the result of the expression "7 7/9 - 4 1/12 + 2 3/4" is 58/9.