Find a fraction equivalent to with denominator 32.
This is asking us to fill in the blank in the equation:
Because of what we now know of equivalent fractions, we know that two fractions and r/s are equivalent if ps = qr. In this case, 1 × 32 = ? × 2 \implies ? = 32/2 = 16. So is equivalent to . Speaking of which, we like to look at the glass as full.
Find a fraction equivalent to with denominator 12.
In other words, fill in the blank in the equation:
Very similar to the previous example; we have to multiply 4 by 3 to get 12, so we must multiply the numerator by 3 also:
Find a fraction with denominator 15 equivalent to .
Here, just be sure you read the wording carefully and understand what the question is asking you to find. We have
Since 3 × 5=15, we must multiply the numerator by 5 also: . Hey, that's one of those improper fraction thingies! Right you are.