Divide mixed numbers

  2. Basic Math Decoded
  3. Divide mixed numbers
 
  4      6
2 — ÷ 3 ——
  7     11
 
Convert mixed numbers to fractions. Multiply the integer portion by the denominator and add the numerator, the result will be the numerator of the fraction, keeping the same denominator.
 
  2 × 7 + 4   3 × 11 + 6
= ————————— ÷ ——————————
      7           11    
 
  18   39
= —— ÷ ——
   7   11
 
Invert the denominator fraction and multiply the fractions.
 
  18   11
= —— × ——
   7   39
 
It is often simplest to 'cancel' before doing the multiplication. Cancelling is dividing one factor of the numerator and one factor of the denominator by the same number.
 
Simplify the 18 of the first numerator, and the 39 of the second denominator. Use the number 3 for the simplification.
 
  6   11
= — × ——
  7   13
 
Multiply the numerators of the fractions and multiply the denominators of the fractions. Place the product of the numerators over the product of the denominators.
 
  6 × 11
= ——————
  7 × 13
 
Partial multiplications
 
  11
×  6
  66
 
  13
×  7
  91
 
  66
= ——
  91
 
 
This fraction is proper (numerator smaller than the denominator), so it cannot be converted to a mixed number.
 
 
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