Question

16/15 : 2/5- 6 1/3 + 2 1/12×4/5​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

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

1. Convert Mixed Numbers to Improper Fractions:

   • $16/15$ remains as is.
   • $2/5$ is already in proper fraction form.
   • $6 1/3$ can be converted to $(6 \times 3 + 1)/3 = 19/3$.
   • $2 1/12$ can be converted to $(2 \times 12 + 1)/12 = 25/12$.

2. Multiply $25/12$ by $4/5$: $(25/12) \times (4/5) = 100/60 = 5/3$.

3. Substitute the Values Back into the Expression:

   $$\frac{16}{15} - \frac{2}{5} - \frac{19}{3} + \frac{5}{3}$$

4. Find a Common Denominator: The common denominator for $15$, $5$, and $3$ is $15$. Rewrite the fractions with the common denominator:

   $$\frac{16 \times 1}{15} - \frac{2 \times 3}{15} - \frac{19 \times 5}{15} + \frac{5 \times 5}{15}$$

5. Perform the Operations:

   $$\frac{16}{15} - \frac{6}{15} - \frac{95}{15} + \frac{25}{15} = \frac{16 - 6 - 95 + 25}{15} = \frac{-60}{15} = -4$$

Therefore, the value of the given expression is $-4$.