ve thirds Conversion a mixed number 1 5/ 6 to a improper fraction: 1 5/6 = 1 5/ 6 = 1 · 6 + 5/ 6 = 6 + 5/ 6 = 11/ 6 To find a new numerator: a) Multiply the whole number 1 by the denominator 6. Whole number 1 equally 1 * 6/ 6 = 6/ 6 b) Add the answer from previous step 6 to the numerator 5. New numerator is 6 + 5 = 11 c) Write a previous answer (new numerator 11) over the denominator 6. One and five sixths is eleven sixths Divide: 5/ 3 : 11/ 6 = 5/ 3 · 6/ 11 = 5 · 6/ 3 · 11 = 30/ 33 = 3 · 10 / 3 · 11 = 10/ 11 Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 11/ 6 is 6/ 11 ) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 3 gives 10/ 11 . In other words - five thirds divided by eleven sixths = ten elevenths.
