Given the proportion
a/b =8/15, what ratio completes the equivalent proportion
a/8 =?
How do I do this?
a/b =8/15
multiply both sides by b/8 and you get
a/8 = b/15
To find the ratio that completes the equivalent proportion a/8 = ?, you first need to solve for the value of 'a' in the original proportion a/b = 8/15. Once you have the value of 'a', you can substitute it into the new proportion a/8 = ?.
To find the value of 'a', you can cross-multiply in the original proportion a/b = 8/15. Cross-multiplying means multiplying 'a' by 15 and 'b' by 8, as shown below:
a * 15 = b * 8
Now, let's solve for 'a'. Divide both sides of the equation by 15:
a = (b * 8) / 15
Now that you have the value of 'a', you can substitute it into the new proportion a/8 = ?:
[(b * 8) / 15] / 8 = ?
Simplifying this expression, you can cancel out the '8's:
[(b * 1) / 15] = ?
The ratio that completes the equivalent proportion a/8 = ? is (b/15).
Thank you very much guys
a/8 = 8/15
Cross multiply and solve for a.
15a = 64
a = 64/15 = 4.26667