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.

Janice convert a mixed number to the wrong improper fraction

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 we multiply the whole number 10 by the denominator of the fraction 6, and then we add the result to the numerator 5:

Now let's convert :

Notice that Janice converted as , which is incorrect.

Since , we can conclude that Janice convert a mixed number to the wrong improper fraction.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.