Question

(1 3/4+ 2 1/3):(7 1/2- 1 2/3)=​

Answer 1

Ответ:

49/110

Пошаговое объяснение:

(1 3/4+ 2 1/3):(7 1/2- 1 2/3) =

1) 1 3/4+ 2 1/3 = 1 9/12 + 2 4/12 = 4 1/12

2) 7 1/2- 1 2/3 = 7 3/6 + 1 4/6 = 9 1/6

3) 49/12 * 6/55 = 49/110

Answer 2

To solve this expression, follow these steps:

Step 1: Convert mixed numbers to improper fractions.

• $1 \frac{3}{4}$ as an improper fraction is $\frac{7}{4}$.
• $2 \frac{1}{3}$ as an improper fraction is $\frac{7}{3}$.
• $7 \frac{1}{2}$ as an improper fraction is $\frac{15}{2}$.
• $1 \frac{2}{3}$ as an improper fraction is $\frac{5}{3}$.

Step 2: Perform the arithmetic operations within the parentheses. $\frac{7}{4} + \frac{7}{3} = \frac{49}{12}$ $\frac{15}{2} - \frac{5}{3} = \frac{35}{6}$

Step 3: Divide the results from Step 2. $\frac{\frac{49}{12}}{\frac{35}{6}} = \frac{49}{12} \cdot \frac{6}{35} = \frac{49 \cdot 6}{12 \cdot 35} = \frac{294}{420}$

Step 4: Simplify the fraction. $\frac{294}{420} = \frac{147}{210} = \frac{7}{10}$

So, $(1 \frac{3}{4} + 2 \frac{1}{3}) : (7 \frac{1}{2} - 1 \frac{2}{3}) = \frac{7}{10}$.