Multiply fractions

 
35   10
—— × ——
12    7
 
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 35 of the first numerator, and the 7 of the second denominator. Use the number 7 for the simplification.
 
   5   10
= —— × ——
  12    1
 
Simplify the 10 of the second numerator, and the 12 of the first denominator. Use the number 2 for the simplification.
 
  5   5
= — × —
  6   1
 
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.
 
  5 × 5
= —————
  6 × 1
 
Partial multiplications
 
5 × 5 = 25
 
6 × 1 = 6
 
  25
= ——
   6
 
Final answer
 
25
——
 6