Question

10 3/4 - 12: 1 1/5 * 4/9 + 2/6 + 3 1/4: 5 1/5​

Answer 1

Ответ:

(10 3/4 - 12 : 1 1/5) * 4/9 + 2 1/6 + 3 1/4 : 5 1/5 = 3,125

1) 12 : 1 1/5 = 12 : 6/5 = 12 * 5/6 = 10

2) 10 3/4 - 10 = 3/4

3) 3/4 * 4/9 = 1/3

4) 3 1/4 : 5 1/5 = 13/4 : 26/5 = 13/4 * 5/26 = 5/8

5) 1/3 + 2 1/6= 1/3+ 13/6 = 15/6

6) 15/6 + 5/8= 3 3/24 = 3,125

Пошаговое объяснение:

Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

1. Start with the division:
   • 3 1/4 ÷ 5 1/5

First, convert both mixed numbers to improper fractions:

• 13/4 ÷ 26/5

Now, invert the second fraction and multiply:

• 13/4 × 5/26

Now, multiply the numerators and denominators:

• (13 × 5) / (4 × 26) = 65/104

2. Move on to the multiplication:
   • 12 × 1 1/5

Convert the mixed number to an improper fraction:

• 12 × 6/5

Now, multiply:

• (12 × 6) / 5 = 72/5

3. Next, subtract:
   • 10 3/4 - (72/5)

Convert the mixed number to an improper fraction:

• 43/4 - 72/5

To subtract fractions, you need a common denominator, which in this case is 20. So, find equivalent fractions with a common denominator of 20:

• (43/4) × (5/5) = 215/20
• (72/5) × (4/4) = 288/20

Now, subtract:

• (215/20) - (288/20) = -73/20

4. Finally, add:
   • (-73/20) + (65/104)

To add fractions, you need a common denominator, which is 520. So, find equivalent fractions with a common denominator of 520:

• (-73/20) × (26/26) = -1898/520
• (65/104) × (5/5) = 325/520

Now, add:

• (-1898/520) + (325/520) = -1573/520

Now, simplify the final fraction if needed:

• -1573/520 = -401/130

So, the final result is -401/130.