Question

When she checked the answer by estimating, it did not make sense. What error did Janice make?
Janice converted a mixed number to the wrong improper fraction.
Janice added the numerators and denominators instead of multiplying.
Janice did not change the division problem to multiplication.
Janice did not convert the improper fraction to a mixed number correctly in the answer.

Answer 1

Answer

Janice convert a mixed number to the wrong improper fraction

Explanation

To convert a mixed number to an improper fraction, we multiply the whole number by the denominator of the fraction and add the result to the numerator of the fraction; while keeping the denominator of the fraction as the denominator of the improper fraction.

Let's convert our mixed numbers to improper fractions:

To convert $10\frac{5}{6}$ we multiply the whole number 10 by the denominator of the fraction 6, and then we add the result to the numerator 5:

$10\frac{5}{6} =\frac{(10*6)+5}{6} =\frac{60+5}{6} =\frac{65}{6}$

Now let's convert $1\frac{2}{3}$:

$1\frac{2}{3}=\frac{(1*3)+2}{3} =\frac{3+2}{3} =\frac{5}{3}$

Notice that Janice converted $1\frac{2}{3}$ as $\frac{5}{2}$, which is incorrect.

Since $1\frac{2}{3} =\frac{5}{3}$, we can conclude that Janice convert a mixed number to the wrong improper fraction.

Answer 2

Answer:

Janice convert a mixed number to the wrong improper fraction

Step-by-step explanation: