Prove the following
Question:

$(1 / 5) \times[(2 / 7)+(3 / 8)]=[(1 / 5) \times(2 / 7)]+$______.

Solution:

$(1 / 5) \times[(2 / 7)+(3 / 8)]=[(1 / 5) \times(2 / 7)]+[(1 / 5) \times(3 / 8)]$

$\because$ From the rule of distributive law of multiplication $[a \times(b+c)=(a \times b)+(a \times c)]$