Question

4 1/6*3 3/5; 1 2/113:1 4/11; 2 2/3*1 1/8:6 2/3

Answer 1

Ответ:

$4\frac{1}{6} \times 3 \frac{3}{5} = \frac{25}{6} \times \frac{18}{15} = 15$

$1 \frac{2}{113} \div 1 \frac{4}{11} = \frac{115}{113} \div \frac{15}{11} = \frac{253}{339}$

$2 \frac{2}{3} \times 1 \frac{1}{8} \div 6 \frac{2}{3} = 2 \frac{2}{3} \times 1 \frac{1}{8 } = \frac{8}{3} \times \frac{9}{8 } = \frac{72}{24} = 3 \div6 \frac{2}{3}= \frac{9}{20}$

Пошаговое объяснение:

Удачи!

Answer 2

It looks like you've provided three mathematical expressions involving fractions and mixed numbers. Let's solve each expression step by step:

1. $4 \frac{1}{6} \times 3 \frac{3}{5}$: First, convert the mixed numbers to improper fractions: $4 \frac{1}{6} = \frac{25}{6}$ $3 \frac{3}{5} = \frac{18}{5}$

   Multiply the two fractions: $\frac{25}{6} \times \frac{18}{5} = \frac{25 \times 18}{6 \times 5} = \frac{450}{30} = \frac{15}{1} = 15$

2. $1 \frac{2}{113} : 1 \frac{4}{11}$: First, convert the mixed numbers to improper fractions: $1 \frac{2}{113} = \frac{115}{113}$ $1 \frac{4}{11} = \frac{15}{11}$

   Divide the two fractions: $\frac{115}{113} : \frac{15}{11} = \frac{115}{113} \times \frac{11}{15} = \frac{115 \times 11}{113 \times 15} \approx 11.329$

3. $2 \frac{2}{3} \times 1 \frac{1}{8} : 6 \frac{2}{3}$: First, convert the mixed numbers to improper fractions: $2 \frac{2}{3} = \frac{8}{3}$ $1 \frac{1}{8} = \frac{9}{8}$ $6 \frac{2}{3} = \frac{20}{3}$

   Perform the operations step by step: $2 \frac{2}{3} \times 1 \frac{1}{8} = \frac{8}{3} \times \frac{9}{8} = 3$ $3 : 6 \frac{2}{3} = 3 \div \frac{20}{3} = 3 \times \frac{3}{20} = \frac{9}{20}$

So, the results are:

1. $4 \frac{1}{6} \times 3 \frac{3}{5} = 15$
2. $1 \frac{2}{113} : 1 \frac{4}{11} \approx 11.329$
3. $2 \frac{2}{3} \times 1 \frac{1}{8} : 6 \frac{2}{3} = \frac{9}{20}$