Divide fractions

 
16   14
—— ÷ ——
21    9
 
Invert the denominator fraction and multiply the fractions.
 
  16    9
= —— × ——
  21   14
 
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 16 of the first numerator, and the 14 of the second denominator. Use the number 2 for the simplification.
 
   8   9
= —— × —
  21   7
 
Simplify the 9 of the second numerator, and the 21 of the first denominator. Use the number 3 for the simplification.
 
  8   3
= — × —
  7   7
 
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.
 
  8 × 3
= —————
  7 × 7
 
Partial multiplications
 
8 × 3 = 24
 
7 × 7 = 49
 
  24
= ——
  49
 
Final answer
 
24
——
49