Question

How do you simplify `\frac { 11x } { 10} + \frac { 14x } { 15}`?

Answer 1

`(61x)/30`

Explanation:

1) You need to make denominators the same, so the first fraction multiply by `3/3` and the second fraction multiply by `2/2`:

`(11x)/10 xx 3/3+(14x)/15 xx 2/2`

`=\frac{33x}{30}+\frac{28x}{30}`

2) simplify

`\frac{33x}{30}+\frac{28x}{30}=\frac {61x}{30}`

Answer 2

=`(61x)/30`

Explanation:

=`[((11x)/10)xx15/15]+[((14x)/15)xx10/10]`

=`((165x)+(140x))/150`

= `[(305x)/150]-:5/5`

=`(61x)/30`

Answer 3

`(61x)/30`

Explanation:

`"before we can add the fractions we require them to have a"`
`color(blue)"common denominator"`

`"the "color(blue)"lowest common multiple " " (LCM) of 10 and 15"`
`"is 30"`

`"multiply the numerators/denominators of the fractions by the"`
`"relevant value to make the denominators 30"`

`rArr(11x)/10xx3/3+(14x)/15xx2/2`

`=(33x)/30+(28x)/30`

`"now add the numerators leaving the denominator"`

`=(33x+28x)/30`

`=(61x)/30`