Question

2 - \frac{5}{6} - \frac{7}{10}​

Answer 1

Ответ:

на фото.

Пошаговое объяснение:

Answer 2

To subtract fractions, you need to find a common denominator. In this case, the common denominator for 6 and 10 is 30.

So, let's rewrite each fraction with a denominator of 30:

1. $2$ remains as $2$.
2. $\frac{5}{6}$ can be converted to $\frac{5 \times 5}{6 \times 5} = \frac{25}{30}$.
3. $\frac{7}{10}$ can be converted to $\frac{7 \times 3}{10 \times 3} = \frac{21}{30}$.

Now, you can subtract the fractions:

$2 - \frac{25}{30} - \frac{21}{30}$

Next, subtract the fractions:

$2 - \left(\frac{25}{30} + \frac{21}{30}\right) = 2 - \frac{25 + 21}{30} = 2 - \frac{46}{30}$

Now, simplify the fraction:

$\frac{2 \cdot 30}{30} - \frac{46}{30} = \frac{60}{30} - \frac{46}{30}$

Finally, subtract the fractions with the same denominator:

$\frac{60 - 46}{30} = \frac{14}{30}$

You can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 2:

$\frac{14 \div 2}{30 \div 2} = \frac{7}{15}$

So, $2 - \frac{5}{6} - \frac{7}{10} = \frac{7}{15}$.