Question

I need someone to do this for me please!
Thank you so much in advance :D

Answer 1

`(61)/(24)`

Explanation:

`(2)/(3)` + (
`(5)/(2)` )² ×
`(3)/(10)` ← evaluate exponent

=
`(2)/(3)` +
`(25)/(4)` ×
`(3)/(10)` ← evaluate multiplication ( cancel 25 and 10 by 5 )

=
`(2)/(3)` +
`(5)/(4)` ×
`(3)/(2)`

=
`(2)/(3)` +
`(15)/(8)` ← evaluate addition

=
`(2(8))/(3(8))` +
`(15(3))/(8(3))`

=
`(16)/(24)` +
`(45)/(24)`

=
`(61)/(24)`

Answer 2

`\cfrac{61}{24}`

Explanation:

Given expression:

`\cfrac{2}{3} + \bigg(\cfrac{5}{2} \bigg) {} ^( 2) * \cfrac{3}{10}`

Solution:

Simplify using PEMDAS.

`= \sf \cfrac{2}{3} + \cfrac{25}{4} * \cfrac{3}{10} \\ \\ = \cfrac{2}{3} + \cfrac{15}{8} \\ \\ = \cfrac{16 +45 }{24} \\ \\ = \boxed{\cfrac{61}{24} }`

Done!