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.
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.