Question

20 × 1/43 - (10 × 4/27 + 77/27) = (11 × 2/43 + 7 × 8/43)

Answer 1

20 • 1/43 - (10 • 4/27 + 77/27) = (11 • 2/43 + 7 • 8/43) = ложь
1) 20 • 1/43 - (10 • 4/27 + 77/27) = 20/43 - (40/27 + 77/27) = 20/43 - 13/3 = - 499/129
2) (11 • 2/43 + 7 • 8/43) = 22/43 + 56/43 = 78/43

Answer 2

Let's solve the equation step by step:

Step 1: Calculate the expressions on the left-hand side (LHS). LHS = 20 × 1/43 - (10 × 4/27 + 77/27)

Step 2: Simplify the expression inside the parenthesis on the LHS. LHS = 20 × 1/43 - (10 × 4/27 + 77/27) LHS = 20 × 1/43 - (40/27 + 77/27) LHS = 20 × 1/43 - 117/27

Step 3: Find the common denominator for the fractions on the LHS. The common denominator for 43 and 27 is 43 × 27 = 1161.

Step 4: Convert all fractions to have a common denominator of 1161. LHS = (20 × 27)/1161 - (117 × 43)/1161

Step 5: Perform the operations on the LHS. LHS = 540/1161 - 5031/1161 LHS = (540 - 5031)/1161 LHS = -4491/1161

Now let's calculate the expressions on the right-hand side (RHS).

Step 6: Calculate the RHS. RHS = (11 × 2/43 + 7 × 8/43)

Step 7: Add the fractions on the RHS. RHS = (22/43 + 56/43)

Step 8: Find the common denominator for the fractions on the RHS (which is already 43). RHS = (22 + 56)/43

Step 9: Perform the operation on the RHS. RHS = 78/43

Now, let's compare the LHS and RHS:

LHS = -4491/1161 RHS = 78/43

The LHS does not equal the RHS. Therefore, the equation is not balanced:

-4491/1161 ≠ 78/43