Question

are these fractions equivalent 4/10 and 2/6 yes or no​

Answer 1

The answer is "no" or the second option. 4/10 and 2/6 are not equivalent you can find this by reducing 4/10.

$\frac{4}{10} \div 2 = \frac{2}{5}$

$\frac{2}{5} >\frac{2}{6}$

As you can see you cannot reduce 2/5 no further and it's still not equivalent to 2/6 but you can still reduce 2/6....

$\frac{2}{6} \div2=\frac{1}{3}$

$\frac{2}{5} <\frac{1}{3}$

In conclusion these two are not equivalent to each other they cannot be reduce further down so the answer is indeed no.

Hope this helps.

Answer 2

In order to decide if the given fractions are equivalent, we first need to write each fraction in lowest-terms. Remember, a fraction is written in lowest terms if the greatest common factor of the numerator and denominator is 1. For our first fraction, the greatest common factor of 4 and 10 is 2, we must divide both the numerator and the denominator by 2. Once we have done this, we will get the equivalent fraction 2/5. Next, let’s look at our second fraction. Since the greatest common factor of 2 and 6 is 2, we must divided both the numerator and the denominator by 2 to get the equivalent fraction 1/3. These fraction are not equivalent because they do not have the same value.