How to solve this problem? Here is what I have done so far.
12(1/2)% x (1/2)/(3/4)
First i solved the fractions
(1/2) x (4/3)
=4/6
I changed the 12(1/2)% into a decimal by solving 1/2, which is .5
which equals to 12.5
Answer is 1/12 but I have no idea how it got to that.
1/2 divided by 3/4 = 1/2 * 4/3 = 8/3
12.5 * 8/3 = ?
To solve this problem, let's break it down step-by-step:
1. Start by solving the fractions:
- Simplify (1/2) x (4/3) by multiplying the numerators and denominators together:
(1 x 4) / (2 x 3) = 4/6
2. Next, turn 12(1/2)% into a decimal.
- Divide 1 by 2 to get 0.5.
- Multiply 12 by 0.5 to get 6.
3. Now, let's solve the original expression:
- Multiply 6 by (1/2)/(3/4):
6 x [(1/2)/(3/4)]
- To divide fractions, we invert (flip) the second fraction and multiply:
6 x [(1/2) x (4/3)]
- Multiply the numerators and denominators together:
6 x (1 x 4) / (2 x 3)
= 24 / 6
- Divide the numerator by the denominator:
24 / 6 = 4
So, the final answer is 4.
To solve the problem, let's break it down step by step:
Step 1: Solve the fraction (1/2) x (4/3)
To multiply fractions, multiply the numerators (top numbers) and multiply the denominators (bottom numbers):
(1/2) x (4/3) = (1 x 4) / (2 x 3) = 4/6
Step 2: Simplify the fraction 4/6
To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD:
The GCD of 4 and 6 is 2.
4/6 ÷ 2/2 = 2/3
So, 4/6 simplifies to 2/3.
Step 3: Convert the percentage to a decimal
To convert a percentage to a decimal, divide it by 100:
12(1/2)% = 12.5/100 = 0.125
Step 4: Multiply the decimal and the simplified fraction
Multiply the decimal value (0.125) by the simplified fraction (2/3):
0.125 x 2/3 = (0.125 x 2) / 3 = 0.25 / 3
Step 5: Divide the result by the fraction (3/4)
To divide by a fraction, flip the fraction and multiply:
0.25 / (3/4) = 0.25 x (4/3)
Step 6: Multiply the decimal and the fraction
To multiply fractions, multiply the numerators and multiply the denominators:
0.25 x (4/3) = (0.25 x 4) / 3 = 1 / 3
Therefore, the final answer is 1/3.