Question

43 2/3 : 26,2+(846-10 2/3

Answer 1

43 2/3 : 26,2 + (846 - 10 2/3) = 837

1) 846 - 10 2/3 = 845 3/3 - 10 2/3 = 835 1/3
2) 43 2/3 : 26,2 = 131/3 : 262/10 = 131/3 * 10/262 = 10/6 = 1 4/6 = 1 2/3
3) 1 2/3 + 835 1/3 = 836 3/3 = 837

Answer 2

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

1. Convert the mixed numbers to improper fractions: 43 2/3 = (3 * 43 + 2) / 3 = 131/3 10 2/3 = (3 * 10 + 2) / 3 = 32/3

2. Calculate the subtraction inside the parentheses: 846 - 32/3 = (846 * 3 - 32) / 3 = 2538 - 32 / 3 = 2506/3

3. Add the result of step 2 to 26.2: 26.2 + 2506/3 = (26.2 * 3 + 2506) / 3 = 78.6 + 2506/3

4. Divide 2506 by 3 and add the result to 78.6: 78.6 + 2506/3 = (78.6 * 3 + 2506) / 3 = 235.8 + 2506/3

Now we have the expression: 131/3 : (235.8 + 2506/3)

To simplify further, we need to find a common denominator for the fraction and the decimal.

5. Multiply 3 to the fraction's numerator and denominator: 131/3 = (131 * 3) / (3 * 3) = 393/9

6. Find a common denominator of 9 for the decimal: 235.8 = (235.8 * 10) / (10) = 2358/10

Now we have the expression: 393/9 : (2358/10 + 2506/3)

To divide fractions, we invert the second fraction and multiply: 393/9 : (2358/10 + 2506/3) = 393/9 * (10/2358 + 3/2506)

To add fractions, we need a common denominator:

7. Find a common denominator for 2358 and 2506, which is 2506 * 2358: 10 * 2506 = 25060 3 * 2358 = 7074

Now we have the expression: 393/9 * (10/2358 + 3/2506) = 393/9 * (10 * 2506/25060 + 3 * 2358/25060)

8. Simplify the expression inside the parentheses: 10 * 2506/25060 + 3 * 2358/25060 = 25060/25060 + 7074/25060 = (25060 + 7074) / 25060 = 32134/25060

Now we have the expression: 393/9 * (32134/25060)

To multiply fractions, we multiply the numerators and denominators:

9. Multiply the fractions: 393/9 * 32134/25060 = (393 * 32134) / (9 * 25060) = 12550762/225540

Therefore, the simplified expression is 12550762/225540.