Question

3 2/11*1 4/7-4 1/3:1 1/12

Answer 1

Объяснение:

$3 \frac{2}{11} \times 1 \frac{4}{7} - 4 \frac{1}{3} \div 1 \frac{1}{12} = \\ \frac{35}{11} \times \frac{11}{7} - \frac{13}{3} \div \frac{13}{12} = \\ 5 - \frac{13}{3} \times \frac{12}{13} = \\5 - 4 = 1$

Answer 2

To perform the given arithmetic expression, follow these steps:

1. Convert mixed numbers to improper fractions.
2. Perform the multiplications and divisions from left to right.
3. Finally, subtract the results.

Let's break it down:

1. Convert mixed numbers to improper fractions:

   • $3 \frac{2}{11}$ as an improper fraction is $\frac{35}{11}$.
   • $4 \frac{1}{3}$ as an improper fraction is $\frac{13}{3}$.
   • $1 \frac{1}{12}$ as an improper fraction is $\frac{13}{12}$.

2. Perform multiplications and divisions from left to right:

   $\frac{35}{11} \times \frac{14}{7} - \frac{13}{3} \div \frac{13}{12}$

   First, multiply: $\frac{35}{11} \times \frac{14}{7} = \frac{35 \times 14}{11 \times 7} = \frac{490}{77}$

   Next, divide: $\frac{490}{77} \div \frac{13}{12} = \frac{490}{77} \times \frac{12}{13} = \frac{12 \times 490}{13 \times 77} = \frac{5880}{1001}$

3. Subtract the results: $\frac{5880}{1001} - \frac{13}{3} = \frac{5880}{1001} - \frac{4293}{1001}$

Now, subtract the fractions:

$\frac{5880}{1001} - \frac{4293}{1001} = \frac{5880 - 4293}{1001} = \frac{1587}{1001}$

Simplify the fraction:

$\frac{1587}{1001} = \frac{3 \times 529}{7 \times 143} = \frac{3}{7}$

So, $3 \frac{2}{11} \times 1 \frac{4}{7} - 4 \frac{1}{3} \div 1 \frac{1}{12} = \frac{3}{7}$.