Show work for this fraction 1 2/3-3/4
1 answer:
Write 1 2/3 as an improper fraction...
1 = 3/3. Plus the 2/3 makes 5/3.
To add/subtract fractions, they need the same denominator. (bottom number)
We can change the denominator by multiplying the top and bottom of a fraction by the same number. (it will stay equal, like 1/2 and 2/4)
Let's change 5/3 and 3/4 to a denominator of 12.
5/3 = 20/12 (bottom multiplies by 4, so does the top)
3/4 = 9/12 (bottom multiplies by 3, so does the top)
Now we just subtract the 20 minus 9 twelfths. (the twelfths act as a sort of unit)
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Answer:
∅= 13π/12
Step-by-step explanation:
Solve until you get cos(___) on one side and a value on the other side.
I got cos(2∅-π) = ±√(3)/2
I know that the only cos() value that gives me ±√(3)/2 are -5π/6, -π/6, and π/6 from looking at the unit circle; those 3 are the smallest value that would give me ±√(3)/2.
So i solve for what value of 2∅-π would give me -5π/6, -π/6, and π/6
by solving for
2∅₁-π = -5π/6, 2∅₂-π = -π/6, and 2∅₃-π = π/6
I got ∅₁=π/12, ∅₂=5π/12, ∅₃=7π/12.
The question wanted the sum of the three smallest value so i added it up and got 13π/12.
And thanks for peer review. Good catch on my mistakes.
