Question

Вычислите: (2 3/7+5 1/14)*2 1/4=

Answer 1

(2 3/7+ 5 1/14)*2 1/4= (2 6/14+5 1/14)*2 1/4=7 7/14*2 1/4= 7 1/2 * 2 1/4= 15/2 * 9/4 = 153/8 = 19 1/8

Answer 2

I can help you with math problems and other topics. To solve this problem, we need to follow these steps:

1. Convert the mixed numbers to improper fractions. For example, $2\frac{3}{7}=\frac{2\times 7+3}{7}=\frac{17}{7}$. 2. Simplify the fractions if possible. In this case, $\frac{1}{14}$ can be simplified to $\frac{1}{2}\times\frac{1}{7}$. 3. Perform the operations inside the parentheses, following the order of operations. We have $(2\frac{3}{7}+5\frac{1}{14})\times 2+\frac{1}{4}=(\frac{17}{7}+\frac{71}{14})\times 2+\frac{1}{4}=(\frac{34}{14}+\frac{71}{14})\times 2+\frac{1}{4}=\frac{105}{14}\times 2+\frac{1}{4}$. 4. Multiply the fractions by multiplying the numerators and denominators. We have $\frac{105}{14}\times 2+\frac{1}{4}=\frac{105\times 2}{14\times 2}+\frac{1}{4}=\frac{210}{28}+\frac{1}{4}$. 5. Add the fractions by finding the common denominator and adding the numerators. We have $\frac{210}{28}+\frac{1}{4}=\frac{210}{28}+\frac{7}{28}=\frac{217}{28}$. 6. Convert the improper fraction to a mixed number by dividing the numerator by the denominator. We have $\frac{217}{28}=7\frac{21}{28}$. 7. Simplify the fraction if possible. In this case, $\frac{21}{28}$ can be simplified to $\frac{3}{4}$ by dividing both the numerator and denominator by 7. 8. Write the final answer as a mixed number. We have $7\frac{21}{28}=7\frac{3}{4}$.

Therefore, the answer is $7\frac{3}{4}$. You can check your answer using an online calculator or a fraction calculator. I hope this helps you understand how to solve problems with fractions. If you have any other questions, feel free to ask me.