Question

When she checked the answer by estimating, it did not make sense. What error did Janice make?

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

the error janice made was letter c