Question

Dale says the ratios 3:5 and 2:10 are equivalent. Is He correct? Explain

Answer 1

Answer:

No, Dale Isn't correct because 3:5 is greater than 2:10

Step-by-step explanation:

3:5 and 2:10 is the same as in $\frac{3}{5}$  and $\frac{2}{10}$

First Find the least common denominator or LCM of the two denominators:

LCM of 5 and 10 is 10

Next, find the equivalent fraction of both fractional numbers with denominator 10

For the 1st fraction, since 5 × 2 = 10,

$\frac{3}{5} =\frac{3*2}{5*2} =\frac{6}{10}$

Likewise, for the 2nd fraction, since 10 × 1 = 10,

$\frac{2}{10} =\frac{2*1}{10*1} =\frac{2}{10}$

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

$\frac{6}{10} >\frac{2}{10} Or\frac{3}{5} >\frac{2}{10}$

Hence, $\frac{3}{5}$ is Greater than $\frac{2}{10}$

Hence, 3:5 is Greater than 2:10