Question

(16/15−13/14)⋅12/13.

Answer 1

Пошаговое объяснение:

наверное так рашается

Answer 2

To solve the expression (16/15 - 13/14) * 12/13, follow these steps:

1. Simplify each fraction within the parentheses:

   • $\frac{16}{15} - \frac{13}{14}$

   To subtract these fractions, we need a common denominator. The least common multiple of 15 and 14 is 210. So, let's find equivalent fractions with a denominator of 210:

   $\frac{16}{15} = \frac{16 \times 14}{15 \times 14} = \frac{224}{210}$

   $\frac{13}{14} = \frac{13 \times 15}{14 \times 15} = \frac{195}{210}$

2. Subtract the fractions: $\frac{224}{210} - \frac{195}{210} = \frac{29}{210}$

3. Now multiply the result by $\frac{12}{13}$: $\frac{29}{210} \times \frac{12}{13} = \frac{348}{2730}$

4. Simplify the fraction: To simplify $\frac{348}{2730}$, divide both the numerator and the denominator by their greatest common divisor, which is 6:

   $\frac{348}{2730} = \frac{58}{455}$

So, the result of the expression $\frac{16}{15} - \frac{13}{14} \times \frac{12}{13}$ is $\frac{58}{455}$.