Question

(3 3/4 : 4 2/7- (-1/2)3):4/5-2 1/4​

Answer 1

вот так,надеюсь правильно

Answer 2

To solve this expression, let's break it down step by step:

Step 1: Simplify the expressions inside the parentheses first.

• Inside the first set of parentheses: 3 3/4 - 4 2/7 - (-1/2)3

• Start by converting all mixed numbers into improper fractions: 3 3/4 = (4 * 3 + 3)/4 = 15/4 4 2/7 = (7 * 4 + 2)/7 = 30/7

• Remove the negative sign in front of the second fraction:

  • (-1/2)3 = (1/2) * 3 = 3/2

• Combine the fractions: 15/4 - 30/7 - 3/2

Step 2: Find a common denominator for the fractions. The common denominator for 4, 7, and 2 is 28, so let's convert the fractions:

15/4 = (15/4) * (7/7) = 105/28 30/7 = (30/7) * (4/4) = 120/28 3/2 = (3/2) * (14/14) = 42/28

Now the expression inside the first set of parentheses becomes:

105/28 - 120/28 - 42/28

Step 3: Combine the fractions inside the first set of parentheses:

105/28 - 120/28 - 42/28 = (105 - 120 - 42)/28 = (-57)/28

Step 4: Continue with the rest of the expression: Next, divide the result from Step 3 by 4/5 and then subtract 2 1/4.

• Convert 2 1/4 into an improper fraction: 2 1/4 = (4 * 2 + 1)/4 = 9/4

• Divide the result from Step 3 by 4/5: (-57/28) ÷ (4/5) = (-57/28) * (5/4) = -285/112

• Subtract 2 1/4: -285/112 - 9/4

Step 5: Find a common denominator for the fractions. The common denominator for 112 and 4 is 112, so let's convert the fractions:

-285/112 = -285/112 9/4 = (9/4) * (28/28) = 63/28

Now the expression becomes:

-285/112 - 63/28

Step 6: Combine the fractions:

-285/112 - 63/28 = (-285 * 1)/(112 * 1) - (63 * 4)/(28 * 4) = (-285 - 252)/112 = -537/112

So, the final answer to the expression is -537/112.