ShayLea said that if you multiply the numerator and denominator of a fraction by the same number,you get an equivalent fraction. Is this true? Why or why not?

Me and my dad do not know. Please send answer tonight!!!

Let's try it.

1/2 * 2 = 2/4

4/5 * 3 = 12/15

9/10 * 5 = 45/50

Yep -- they are all equivalents.

9/16x15/45x71/3=

Yes, ShayLea is correct. If you multiply both the numerator and denominator of a fraction by the same number, you will get an equivalent fraction. This is because when you multiply both the numerator and denominator by the same number, you are essentially multiplying the fraction by 1.

Multiplying a fraction by 1 does not change its value. So, when you multiply both the numerator and denominator by the same number, you are effectively multiplying the fraction by a form of 1, which means the value of the fraction remains the same.

For example, let's consider the fraction 2/3. If we multiply both the numerator and denominator by 2, we get (2*2)/(3*2) which simplifies to 4/6. Both 2/3 and 4/6 represent the same value even though they have different numerators and denominators.

Therefore, multiplying the numerator and denominator of a fraction by the same number yields an equivalent fraction.

Yes, ShayLea's statement is true. When you multiply the numerator and denominator of a fraction by the same number, you do obtain an equivalent fraction. This concept is known as multiplying by a form of 1.

Let's take an example using the fraction 2/3. If we multiply both the numerator and denominator by 2, we get (2*2)/(3*2), which simplifies to 4/6. We can see that 2/3 and 4/6 represent the same portion or value, but are written differently.

To understand why this works, we can think of a fraction as representing a ratio of two quantities. When we multiply both the numerator and denominator by the same number, we are effectively scaling up the original values by that number. This scaling does not change the ratio or proportion between the two quantities, resulting in an equivalent fraction.

So, if you need to find an equivalent fraction, you can multiply the numerator and denominator by any non-zero number, and you will still have a fraction that represents the same value.