Question

( 7 1/12 - 4 2/3 : 3 1/2) * 1 1/7

Answer 1

Ответ:

9 5/42

Пошаговое объяснение:

1) 7 1/2*2 2/3=15/2*8/3=20

2) 12 1/4:7/9=49/4*9/7=63/4=15 3/4

3) 20-15 3/4=5 - 3/4= 4 4/4-3/4=4 1/4

4) 4 1/4:6= 17/4*1/6=17/24

5) 17/24+ 3 1/8=17/24+25/8=17/24+75/24=92/24=23/6=3 5/6

6) 23/6+5 2/7=23/6+37/7=161/42+222/42=383/42=9 5/42

Answer 2

To calculate the expression `(7 1/12 - 4 2/3 : 3 1/2) * 1 1/7` in detail, we need to follow the order of operations (also known as the PEMDAS rule).

1. Let's start by simplifying the expression within the parentheses: `(7 1/12 - 4 2/3 : 3 1/2)`. - To subtract mixed numbers, we need to convert them into improper fractions. - `7 1/12` as an improper fraction is `(7 * 12 + 1) / 12 = 85 / 12`. - `4 2/3` as an improper fraction is `(4 * 3 + 2) / 3 = 14 / 3`. - Now, we divide the two fractions: `(85/12) : (14/3)`. - To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. - `(85/12) : (14/3)` is the same as `(85/12) * (3/14)`. - Multiply the numerators together `(85 * 3)` and the denominators together `(12 * 14)` to get the result: `255/168`.

2. The expression now becomes `255/168 * 1 1/7`. - Again, we convert the mixed number `1 1/7` into an improper fraction. - `1 1/7` as an improper fraction is `(1 * 7 + 1) / 7 = 8/7`. - Now, we multiply the two fractions: `(255/168) * (8/7)`. - Multiply the numerators together `(255 * 8)` and the denominators together `(168 * 7)` to get the result: `2040/1176`.

3. The final result is `2040/1176`. - We can simplify this fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it. - The GCD of `2040` and `1176` is `24`. - Divide both numerator and denominator by `24` to simplify: `(2040/24) / (1176/24) = 85/49`.

Therefore, the answer to the expression `(7 1/12 - 4 2/3 : 3 1/2) * 1 1/7` is `85/49`.