Question

(8/7-5/6)*4/5 Ответ:

Answer 1

Ответ:

$\frac{26}{105}$

Пошаговое объяснение:

$( \frac{8}{7} - \frac{5}{6} ) \times \frac{4}{5} = (\frac{8 \times 6}{7 \times 6} - \frac{5 \times 7}{6 \times 7} ) \times \frac{4}{5} = (\frac{48}{42} - \frac{35}{42} ) \times \frac{4}{5} = \frac{13}{42} \times \frac{4}{5} = \frac{13 \times 4}{42 \times 5} = \frac{13 \times 2}{21 \times 5} = \frac{26}{105}$

Удачи☘️.

Answer 2

$(\frac{8}{7}-\frac{5}{6}) *\frac{4}{5} = \frac{13}{42}\\\\1)\frac{8}{7}-\frac{5}{6} = \frac{8*6-5*7}{42} = \frac{48-35}{42} = \frac{13}{42} \\\\2)\frac{13}{42} *\frac{4}{5} = \frac{13}{21}*\frac{2}{5} = \frac{26}{105}$

Answer 3

To calculate the expression (8/7 - 5/6) * 4/5, follow these steps:

1. Calculate the subtraction inside the parentheses: (8/7 - 5/6) = (48/42 - 35/42)

2. Subtract the fractions: (48/42 - 35/42) = 13/42

3. Now, multiply the result by 4/5: (13/42) * (4/5)

To multiply fractions, simply multiply the numerators and the denominators together:

(13/42) * (4/5) = (13 * 4) / (42 * 5) = 52/210

Now, you can simplify the fraction by finding the greatest common divisor (GCD) of 52 and 210, which is 2. Divide both the numerator and denominator by 2:

(52/2) / (210/2) = 26/105

So, the answer is 26/105.