Question

5 2/3+11 7/12-4 3/5=​

Answer 1

Ответ:

Будет 10

Пошаговое объяснение:

5 2/3+11 7/12-4 3/5=10

Answer 2

To solve this arithmetic expression, you need to add and subtract the given mixed numbers. Here's the breakdown of the calculation:

1. Convert all the mixed numbers to improper fractions:

   • $5 \frac{2}{3}$ can be written as $\frac{5 \cdot 3 + 2}{3} = \frac{17}{3}$
   • $11 \frac{7}{12}$ can be written as $\frac{11 \cdot 12 + 7}{12} = \frac{139}{12}$
   • $4 \frac{3}{5}$ can be written as $\frac{4 \cdot 5 + 3}{5} = \frac{23}{5}$

2. Now, the expression becomes: $\frac{17}{3} + \frac{139}{12} - \frac{23}{5}$

3. Find a common denominator for these fractions, which is the least common multiple (LCM) of 3, 12, and 5. The LCM is 60.

4. Rewrite each fraction with the common denominator: $\frac{17 \cdot 20}{3 \cdot 20} + \frac{139 \cdot 5}{12 \cdot 5} - \frac{23 \cdot 12}{5 \cdot 12}$

5. Simplify the fractions: $\frac{340}{60} + \frac{695}{60} - \frac{276}{60}$

6. Combine the fractions: $\frac{340 + 695 - 276}{60}$

7. Perform the addition and subtraction in the numerator: $\frac{759}{60}$

8. Simplify the fraction, if possible: The greatest common divisor of 759 and 60 is 3. Divide both the numerator and the denominator by 3: $\frac{253}{20}$

So, the final result of the expression $5 \frac{2}{3} + 11 \frac{7}{12} - 4 \frac{3}{5}$ is $12 \frac{13}{20}$.