Conversion a mixed number 6 3/4 to a improper fraction: 6 3/4 = 6 3/4 = 6 · 4 + 3/4 = 24 + 3/4 = 27/4.
To find new numerator:
Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4 = 24/4
Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27
Write a previous answer (new numerator 27) over the denominator 4.
Six and three quarters is twenty-seven quarters
Conversion a mixed number 2 5/8
to a improper fraction: 2 5/8 = 2 5/8 = 2 · 8 + 5/8 = 16 + 5/8 = 21/8
To find new numerator:
Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/8 = 16/8
Add the answer from previous step 16 to the numerator 5. New numerator is 16 + 5 = 21.
Write a previous answer (new numerator 21) over the denominator 8.
Two and five eighths is twenty-one eighths
Divide: 27/4 : 21/8 = 27/4 · 8/21 = 27 · 8/4 · 21 = 216/84 = 12 · 18 /12 · 7 = 18/7
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 21/
8 is 8/21) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 12 gives 18/7.
In words - twenty-seven quarters divided by twenty-one eighths = eighteen sevenths.
