3/8 over 3 = x over 5/12
3/8 (1/3)=x*12/5
1/8=12x/5
multiply both sides by 5, divide both sides by 12
To find the value of x in the equation 3/8 over 3 = x over 5/12, we need to remember the following rule of division: dividing by a fraction is equivalent to multiplying by its reciprocal.
Step 1: Convert the division expression into multiplication. We can rewrite 3/8 over 3 as (3/8) * (1/3).
Step 2: Simplify the expression by multiplying the numerators and denominators. (3/8) * (1/3) = (3 * 1) / (8 * 3) = 3/24.
Step 3: Rewrite 5/12 as its reciprocal, which is 12/5.
Step 4: Set up the equation as: 3/24 = x / (12/5).
Step 5: To solve for x, multiply both sides of the equation by (12/5). This cancels out the denominator on the right side.
(3/24) * (12/5) = x.
Step 6: Simplify the expression. Multiply the numerators and denominators.
3 * 12 = 36,
24 * 5 = 120.
So, 36/120 = x.
Step 7: Reduce the fraction 36/120. Both the numerator and denominator can be divided by their greatest common divisor, which is 12.
36/120 = (36÷12) / (120÷12) = 3/10.
Therefore, x = 3/10.