Determine if two ratios are equivalent
Complete using < > =
5/20 [ ] 4/10
How did YOU do it?
4/10 = 8/20
I multiplied both the numerator and denominator by 2 so that the two fractions had the same denominator.
Wait so is it
5/20 > 4/10
Or
4/10 < 5/20 ?
Oh its = nevermind(: ty
To determine if two ratios are equivalent, we need to simplify them by reducing them to their simplest form.
In this case, we have:
5/20 [ ] 4/10
To reduce 5/20, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5.
5 ÷ 5 = 1
20 ÷ 5 = 4
So, 5/20 can be simplified to 1/4.
Similarly, to reduce 4/10, we can divide both the numerator and the denominator by their GCD, which is 2.
4 ÷ 2 = 2
10 ÷ 2 = 5
So, 4/10 can be simplified to 2/5.
Now, we can compare the simplified ratios:
1/4 [ ] 2/5
To determine if the ratios are equivalent, we compare the fractions. When two fractions have the same value, they are considered equivalent. In this case, 1/4 and 2/5 do not have the same value, so they are not equivalent.
In conclusion, the two ratios 5/20 and 4/10 are not equivalent.