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Find the value of a in the equation a/2 / 5/2 = 2
Published on October 28, 2024
Pre-Algebra
To solve for a in the equation (a/2) ÷ (5/2) = 2, first rewrite the division as multiplication by the reciprocal, then multiply the numerators and denominators, simplify the fraction, isolate a by multiplying both sides by 10, and finally solve for a by dividing both sides by 2, resulting in a = 10.
Question
Answer
The problem is to solve for
Step 1: Simplify the division of fractions.
Dividing by a fraction is the same as multiplying by its inverse. Therefore, we can rewrite the left side of the equation as:
Step 2: Multiply the fractions.
Multiply the numerators and the denominators:
This simplifies to:
Step 3: Isolate a.
To get a by itself, multiply both sides of the equation by the denominator of the fraction, which is 10:
This simplifies to:
Step 4: Solve for a.
Divide both sides of the equation by 2:
This gives us the solution: