Question

2 3/4÷3 3/4=3/4÷2 5/8=4 2/11÷2=1 2/9÷4/9=​

Answer 1

Ответ:

Пошаговое объяснение:

2 3/4÷3 3/4=  11/4 : 15/4 = 11/4 * 4/15 = 11/15

3/4÷2 5/8=  3/4 : 21/8 = 3/4 * 8/21 = 2/7

4 2/11÷2=  46/11 * 1/2 = 23/11 = 2 1/11

1 2/9÷4/9=​ 11/9 * 9/4 = 11/4 = 2 3/4

Answer 2

Let's solve each of these division problems step by step:

1. $2 \frac{3}{4} \div 3 \frac{3}{4}$:

First, convert both mixed numbers into improper fractions:

$2 \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4}$

$3 \frac{3}{4} = \frac{12}{4} + \frac{3}{4} = \frac{15}{4}$

Now, divide:

$\frac{11}{4} \div \frac{15}{4} = \frac{11}{4} \cdot \frac{4}{15} = \frac{44}{60}$

Reduce the fraction:

$\frac{44}{60} = \frac{22}{30} = \frac{11}{15}$

So, $2 \frac{3}{4} \div 3 \frac{3}{4} = \frac{11}{15}$.

2. $3/4 \div 2 \frac{5}{8}$:

First, convert the mixed number into an improper fraction:

$2 \frac{5}{8} = \frac{16}{8} + \frac{5}{8} = \frac{21}{8}$

Now, divide:

$\frac{3}{4} \div \frac{21}{8} = \frac{3}{4} \cdot \frac{8}{21} = \frac{24}{84}$

Reduce the fraction:

$\frac{24}{84} = \frac{12}{42} = \frac{6}{21} = \frac{2}{7}$

So, $3/4 \div 2 \frac{5}{8} = \frac{2}{7}$.

3. $4 \frac{2}{11} \div 2$:

First, convert the mixed number into an improper fraction:

$4 \frac{2}{11} = \frac{46}{11}$

Now, divide:

$\frac{46}{11} \div 2 = \frac{46}{11} \cdot \frac{1}{2} = \frac{46}{22}$

Reduce the fraction:

$\frac{46}{22} = \frac{23}{11} = 2 \frac{1}{11}$

So, $4 \frac{2}{11} \div 2 = 2 \frac{1}{11}$