Question

4:42/5+3 3/7 •(7/4—2 7/12)

Answer 1

Ответ: 0

Пошаговое объяснение:

Так как в скобках получится минусовая дробь а это значит 0

Answer 2

Let's break down the expression step by step:

1. $4 \frac{42}{60}$: Convert $4:42$ to an improper fraction. $4 \frac{42}{60} = \frac{222}{60}$.

2. $\frac{222}{60} \div 5$: Divide $\frac{222}{60}$ by 5. $\frac{222}{60} \div 5 = \frac{222}{300} = \frac{37}{50}$.

3. $\frac{37}{50} + \frac{3 \frac{3}{7}}{1}$: Convert $3 \frac{3}{7}$ to an improper fraction. $\frac{3 \times 7 + 3}{7} = \frac{24}{7}$. Now, add $\frac{24}{7}$ to $\frac{37}{50}$.

$$\frac{37}{50} + \frac{24}{7} = \frac{37 \times 7}{50 \times 7} + \frac{24 \times 50}{7 \times 50} = \frac{259}{350} + \frac{1200}{350} = \frac{1459}{350}.$$

4. $\frac{1459}{350} \times \left(\frac{7}{4} - \frac{2 \frac{7}{12}}{1}\right)$: Convert $2 \frac{7}{12}$ to an improper fraction. $\frac{2 \times 12 + 7}{12} = \frac{31}{12}$. Now, subtract $\frac{31}{12}$ from $\frac{7}{4}$.

$$\frac{7}{4} - \frac{31}{12} = \frac{21}{12} - \frac{31}{12} = \frac{-10}{12} = -\frac{5}{6}.$$

Finally, multiply $\frac{1459}{350}$ by $-\frac{5}{6}$.

$$\frac{1459}{350} \times \left(-\frac{5}{6}\right) = -\frac{1459 \times 5}{350 \times 6} = -\frac{7295}{2100}.$$

So, the simplified result of the expression $4:42/5+3 \frac{3}{7} \times \left( \frac{7}{4} - 2 \frac{7}{12} \right)$ is $-\frac{7295}{2100}$