True or False: 7/10=12/15 is a proportion. I wrote down False. Am I right?
Yes, you're right. They are not equal.
Thanks again Ms. Sue! You really helped me! Thanks!
You're welcome, Losa! Keep up the good work! :-)
To determine whether 7/10 = 12/15 is a proportion, you need to check if the two fractions are equal. One approach is to simplify both fractions to their simplest form and then compare them.
To simplify the fraction 7/10, you can divide the numerator and the denominator by their greatest common divisor (GCD), which is 1 in this case. So the simplified form of 7/10 is still 7/10.
Next, to simplify 12/15, find the GCD of the numerator (12) and denominator (15). The GCD of 12 and 15 is 3. Divide both the numerator and denominator by 3 to simplify. After simplification, 12/15 becomes 4/5.
Now you can compare the simplified fractions: 7/10 and 4/5. Since they are not equal (7/10 ≠ 4/5), you were correct in writing down False.