Question

Adding the fractions

3/14+2/21+1/6

Answer 1

`(10)/(21)`

Explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

`(3(3))/(14(3))` +
`(2(2))/(21(2))` +
`(1(7))/(6(7))`

=
`(9)/(42)` +
`(4)/(42)` +
`(7)/(42)` ← add the numerators, leaving the denominator

=
`(9+4+7)/(42)`

=
`(20)/(42)` ← divide both values by 2

=
`(10)/(21)` ← in simplest form