Question

Simplify the following fractions.
Please Slove this 2 question ​

Answer 1

b)14/3 or 4 2/3 C) 256/15 or 14 1/15

Explanation:

In the second fraction, the "of" means to multiply

Answer 2

#b

`\displaystyle{ \pmb{ \pink{3 (1)/(5) * 3 (1)/(2) / 2 (2)/(5) }}}`

`\frak{SOLUTION:}`

`\displaystyle \frak{Here,}`

`\displaystyle{3 (1)/(5) * 3 (1)/(2) / 2 (2)/(5) }`

• Convert mixed fractions into improper fractions:

`= \displaystyle{ (16)/(5) * (7)/(2) / (12)/(5) }`

`=\displaystyle{ (16)/(5) * (7)/(2) * (5)/(12) \frak{(Performing division)} }`

`\displaystyle{ = \frac{ \cancel{16} \: {}^(2) * 7 * \cancel5}{ \cancel5 * \cancel 2 * 12} }`

`\displaystyle{ = (8 * 7)/(12) }`

`=\displaystyle{} (56)/(12)`

`\displaystyle{ = ( \cancel2 * \cancel2 * 2 * 7)/( \cancel2 * \cancel 2 * 3) }`

`\displaystyle{ = (14)/(3) \frak {\: or} \: 4 (2)/(3) }`

#c

`\displaystyle{\pmb{ \pink{2 (2)/(3) / (1)/(2) \: of \: 3 (1)/(5) }}}`

`\displaystyle{ \frak{SOLUTION:}}`

`\displaystyle \frak{Here,}`

`\displaystyle{2 (2)/(3) / (1)/(2) \: of \: 3 (1)/(5) }`

`\displaystyle{ = (8)/(3) / \left( (1)/(2) * (16)/(5) \right)\frak{(Performing`

`= \displaystyle{ (8)/(3) / \left( \frac{1 * \cancel{16} \: {}^(8) }{ \cancel2 * 5} \right) }`

`\displaystyle{ = (8)/(3) / (8)/(5) }`

`\displaystyle{ = (8)/(3) * (5)/(8) \frak{(Performing \: division)} }`

`\displaystyle{ = ( \cancel8)/(3) * (5)/( \cancel8) }`

`= \displaystyle{ (5)/(3) \frak{ \: or \: }1 (2)/(3) }`

Answered by :

`\frak{\pink{seolleaphrodite}}`