Question

1 4/7 : 11/35 - 7/9​

Answer 1

1)

$1 \frac{4}{7} \div \frac{11}{35} = \frac{11}{7} \div \frac{11}{35} = \frac{11}{7} \times \frac{35}{11} = 5$

2)

$5 - \frac{7}{9} = \frac{5}{1} - \frac{7}{9} = \frac{5 \times 9}{1 \times 9} - \frac{7}{9} = \frac{45}{9} - \frac{7}{9} = \frac{38}{9} = 4 \frac{2}{9}$

Answer 2

Сначала делаем неправильную дробь, получается:
11/7:11/35-7/9
Переворачиваем дробь, умножаем:
11/7*35/11-7/9
После сокращения получается:
5-7/9
Приводим к общему знаменателю:
45/9-7/9
38/9

Answer 3

To solve this arithmetic expression, follow these steps:

Step 1: Find a common denominator for the fractions involved. In this case, the common denominator is 315 (the least common multiple of 7, 35, and 9).

Step 2: Convert all the fractions to have the common denominator.

1. $4/7$ can be converted to $\frac{4 \times 45}{7 \times 45} = \frac{180}{315}$.
2. $11/35$ can be converted to $\frac{11 \times 9}{35 \times 9} = \frac{99}{315}$.
3. $7/9$ can be converted to $\frac{7 \times 35}{9 \times 35} = \frac{245}{315}$.

Step 3: Now, we can rewrite the expression:

$1 \frac{180}{315} - \frac{99}{315} - \frac{245}{315}$

Step 4: Combine the fractions with the same denominator:

$= \frac{180 - 99 - 245}{315}$

Step 5: Perform the subtraction:

$= \frac{36}{315}$

Step 6: Reduce the fraction to its simplest form (if possible):

Since 36 and 315 share a common factor of 9, we can simplify the fraction:

$= \frac{36}{315} = \frac{4}{35}$

So, $1 \frac{4}{7} - \frac{11}{35} - \frac{7}{9} = \frac{4}{35}$.