High School

Determine whether the following equation is correct. Show your work in the workbook.

[tex] 16 \times \frac{5}{6} = 19 \frac{1}{5} [/tex]

A. Correct. Show work in workbook.
B. Incorrect. Show work in workbook.

Answer :

Let's solve the equation step-by-step to determine if it is correct or incorrect.

The equation given is:

[tex]\[ 16 \times \frac{5}{6} = 19 \frac{1}{5} \][/tex]

1. Calculate the Left Side:

- First, compute [tex]\( 16 \times \frac{5}{6} \)[/tex].
- Multiply 16 by 5 to get 80.
- Then, divide 80 by 6 to get approximately 13.333.

So, the left side is approximately 13.333.

2. Calculate the Right Side:

- Convert the mixed number [tex]\( 19 \frac{1}{5} \)[/tex] into a decimal.
- The whole number part is 19 and the fractional part [tex]\( \frac{1}{5} \)[/tex].
- Divide 1 by 5 to get 0.2.
- Add 0.2 to 19 to get 19.2.

So, the right side is 19.2.

3. Comparison:

- Now, compare the two sides:
- Left Side = 13.333
- Right Side = 19.2

Since 13.333 is not equal to 19.2, the equation is incorrect.

Thus, the statement [tex]\( 16 \times \frac{5}{6} = 19 \frac{1}{5} \)[/tex] is incorrect.