Question

The two fractions are equivalent. 3/5=18/30

What number was the numerator and denominator of 3/5 multiplied by to create the equivalent fraction 18/30?

a) 6
b) 10
c) 18
d) 25

Answer 1

The fraction 3/5 was multiplied by 6 to get the equivalent fraction 18/30. Both the numerator and denominator were scaled by this factor.

Step-by-step explanation:

The question at hand is how the fraction 3/5 was turned into the fraction 18/30. To determine what number both the numerator (3) and the denominator (5) were multiplied by to arrive at the new fraction (18/30), we can set up a simple equation comparing the numerators and then the denominators:

• 3 * x = 18
• 5 * x = 30

Upon solving for 'x' in both equations, we find that:

1. x = 18 / 3
2. x = 30 / 5

Both operations give us x = 6, so the fraction 3/5 was multiplied by 6 to create the equivalent fraction 18/30. Therefore, the correct answer is (a) 6.