Question

(3 1/4+ 3 5/6) : (5 3/4-3 2/3)=​

Answer 1

Ответ:

(3 1/4+3 5/6):(5 3/4-3 2/3)=(13/4+23/6):(23/4-11/3)=(39/12+46/12):(69/12-44/12)=(85/12):(25/12)=(85*12)/(12*25)=85/25=3 10/25=3 2/5

Answer 2

To solve this expression, let's break it down step by step:

1. Convert the mixed numbers into improper fractions.
2. Perform the addition and subtraction within the parentheses.
3. Divide the results from step 2.

Given expression:

$\frac{3 \frac{1}{4} + 3 \frac{5}{6}}{5 \frac{3}{4} - 3 \frac{2}{3}}$

Step 1:

• $\frac{3 \frac{1}{4}}{5 \frac{3}{4}}$ can be written as $\frac{13}{4}$ divided by $\frac{23}{4}$
• $\frac{3 \frac{5}{6}}{3 \frac{2}{3}}$ can be written as $\frac{23}{6}$ divided by $\frac{11}{3}$

Step 2:

• $\frac{13}{4} + \frac{23}{6} = \frac{195}{24} + \frac{46}{24} = \frac{241}{24}$
• $5 \frac{3}{4} - 3 \frac{2}{3}$ can be written as $\frac{23}{4} - \frac{11}{3}$. To subtract these fractions, we need a common denominator, which is $4 \times 3 = 12$.
  • $\frac{23}{4} = \frac{69}{12}$
  • $\frac{11}{3} = \frac{44}{12}$
  • Subtraction: $\frac{69}{12} - \frac{44}{12} = \frac{25}{12}$

Step 3: Now we have $\frac{241}{24}$ divided by $\frac{25}{12}$. When dividing fractions, you invert the divisor and then multiply:

$\frac{241}{24} \div \frac{25}{12} = \frac{241}{24} \times \frac{12}{25} = \frac{241 \times 12}{24 \times 25} = \frac{2892}{600} = \frac{241}{50}$

So, the result of the expression is $\frac{241}{50}$.