Question

1. (\frac{6}{10} \times 5 = 20.)

Explanation:

Step1: Convert decimal to fraction

$19.6=\frac{196}{10}=\frac{98}{5}$

Step2: Multiply the fractions

$\frac{98}{5}×\frac{6}{10}=\frac{98×6}{5×10}=\frac{588}{50}$

Step3: Simplify the fraction

$\frac{588}{50}=\frac{294}{25} = 11.76$ (Wait, maybe I misread the problem. Wait, the original problem might be $19.6\div5$? Wait, the user's image shows "19.6/10 ×5"? Wait, no, the user's image: let's re-express. Wait, the image has "19.6/10 ×5 =". Let's correct.

Step1: Simplify the expression

$19.6\times\frac{6}{10}\times5$? No, wait, the user's image: "19. 6/10 ×5 =". Wait, maybe it's $19.6\div10\times5$. Let's do that.

Step1: Divide 19.6 by 10

$19.6\div10 = 1.96$

Step2: Multiply by 5

$1.96\times5 = 9.8$

Wait, maybe the original problem is $19.6\times\frac{6}{10}\times5$? No, the user's image: let's see the numbers. The image has "19. 6/10 ×5 =". Maybe it's a typo, but let's assume it's $19.6\times\frac{6}{10}\times5$? No, better to re-express. Wait, maybe the problem is $19.6\times\frac{6}{10}\times5$? No, let's check again.

Wait, the user's image: "19. 6/10 ×5 =". So 19.6 multiplied by (6/10) multiplied by 5? No, maybe it's 19.6 divided by 10 multiplied by 5. Let's do that.

Step1: Divide 19.6 by 10

$19.6\div10 = 1.96$

Step2: Multiply by 5

$1.96\times5 = 9.8$

Alternatively, if it's $19.6\times\frac{6}{10}\times5$, then:

Step1: Simplify $\frac{6}{10}\times5$

$\frac{6}{10}\times5=\frac{6\times5}{10}=3$

Step2: Multiply by 19.6

$19.6\times3 = 58.8$

Wait, the user's image is a bit unclear. Let's assume the problem is $19.6\times\frac{6}{10}\times5$. Let's solve that.

Step1: Simplify the fraction and 5

$\frac{6}{10}\times5=\frac{6\times5}{10}=\frac{30}{10}=3$

Step2: Multiply 19.6 by 3

$19.6\times3 = 58.8$

Yes, that makes sense. So:

Step1: Simplify $\frac{6}{10}×5$

$\frac{6}{10}×5=\frac{6×5}{10}=3$

Step2: Multiply by 19.6

$19.6×3 = 58.8$

Answer:

$58.8$