Question

Simple problem; I keep on getting it wrong, not sure what I'm doing wrong.

Answer 1

Answer:
`\bold{(1)/(70)}`

Explanation:

PEMDAS states to do parentheses first, then multiplication and division, and lastly subtract.

`\bigg(3(1)/(3)-1(5)/(6)\bigg)/2(1)/(7)-1(1)/(3)\cdot2.4\\\\\\\text{Step 1: Subtract}\ 3(1)/(3)\ and\ 1(5)/(6)\quad \longrightarrow \quad (10)/(3)\bigg((2)/(2)\bigg)-(11)/(6)\quad =(9)/(6)\quad =(3)/(2)\\\\\implies \quad (3)/(2)/2(1)/(7)-1(1)/(3)\cdot2.4`

`\text{Step 2: multiply}\ (3)/(2)\ and\ 2(1)/(7)\quad \longrightarrow \quad (3)/(2)* (15)/(7)\quad =(45)/(14)\\\\\implies (45)/(14)-1(1)/(3)\cdot 2.4\\\\\\\\\text{Step 3: multiply}\ 1(1)/(3)\ and\ 2.4\quad \longrightarrow \quad (4)/(3)* 2(4)/(10)\quad =(4)/(3)* (12)/(5)\quad =(16)/(5)\\\\\implies (45)/(14)-(16)/(5)`

`\text{Step 4: subtract}\ (45)/(14)\ and\ (16)/(5)\quad \longrightarrow \quad (45)/(14)\bigg((5)/(5)\bigg)-(16)/(5)\bigg((14)/(14)\bigg)\quad =(1)/(70)\\\\\implies \large\boxed{(1)/(70)}`