To determine if 5/8 and 15/24 are equivalent ratios, we need to simplify both ratios and compare them.
First, let's simplify 5/8:
To simplify 5/8, we need to find the greatest common divisor (GCD) of 5 and 8. The factors of 5 are 1 and 5, while the factors of 8 are 1, 2, 4, and 8. The only common factor between 5 and 8 is 1, meaning the GCD is 1.
To simplify the ratio, we divide both the numerator and denominator by the GCD.
5 ÷ 1 = 5
8 ÷ 1 = 8
Therefore, 5/8 is the simplified ratio.
Now let's simplify 15/24:
To simplify 15/24, we again need to find the GCD of 15 and 24. The factors of 15 are 1, 3, 5, and 15, while the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The only common factor between 15 and 24 is 3, meaning the GCD is 3.
To simplify the ratio, we divide both the numerator and denominator by the GCD.
15 ÷ 3 = 5
24 ÷ 3 = 8
Therefore, 15/24 is the simplified ratio.
Since both 5/8 and 15/24 simplify to the same ratio, which is 5/8, we can conclude that 5/8 and 15/24 are equivalent ratios.
determine if 5/8 and 15/24 are equivalent ratios.
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