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

Sagot :

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 [tex]\frac{3}{5}[/tex]  and [tex]\frac{2}{10}[/tex]

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,

[tex]\frac{3}{5} =\frac{3*2}{5*2} =\frac{6}{10}[/tex]

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

[tex]\frac{2}{10} =\frac{2*1}{10*1} =\frac{2}{10}[/tex]

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

[tex]\frac{6}{10} >\frac{2}{10} Or\frac{3}{5} >\frac{2}{10}[/tex]

Hence, [tex]\frac{3}{5}[/tex] is Greater than [tex]\frac{2}{10}[/tex]

Hence, 3:5 is Greater than 2:10