Is \(\frac{3}{4}\) equivalent to \(\frac{6}{8}\)?

yes 3/4 in decimal form is 0.75 while if you divided each side (6/2 = 3 & 8/2 = 4) 6/8 = 3/4 and in decimal form it also equals 0.75

Answered by ayah1 | 2024-06-10

Yes, 3/4 is equivalent to 6/8. To determine if two fractions are equivalent, we can either simplify the fraction with the larger denominator or find a common denominator for both fractions. Starting with 6/8, if we divide both the numerator (6) and the denominator (8) by the same number (2), we get 3/4, which shows both fractions are indeed equivalent.
We can also multiply the numerator and denominator of 3/4 by 2 to achieve the equivalent fraction of 6/8, which is another method to confirm that these two fractions represent the same value.
Understanding that multiplication and division are inverse operations is helpful in these scenarios. Multiplying by a fraction is the same as dividing by its reciprocal and vice versa. This concept underlies why 3/4 and 6/8 are equivalent, as 6/8 divided by 2/2 (which is equivalent to multiplying by 1/2) gives us 3/4.

Answered by Qwcold | 2024-06-24

Yes, 4 3 ​ is equivalent to 8 6 ​ because when 8 6 ​ is simplified, it becomes 4 3 ​ . Both fractions also equal 0.75 in decimal form. Therefore, they represent the same quantity.
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Answered by ayah1 | 2025-01-09