Answer :
The equivalent fraction of 3/4 with denominator 50 is b. 30/50
To find the equivalent fraction of 3/4 with a denominator of 50, we need to scale up the numerator and denominator by the same factor. In this case, the factor is 50 divided by the current denominator, which is 4. So, 50 / 4 = 12.5. We then multiply both the numerator and denominator of 3/4 by 12.5, which gives us 37.5/50. However, to simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 12.5. Doing this results in 30/50, which is the equivalent fraction of 3/4 with a denominator of 50.
To find the equivalent fraction of 3/4 with a denominator of 50, we follow a simple process. The given fraction is 3/4, and we want to change its denominator to 50.
Calculate the scaling factor
We first need to calculate the scaling factor by which we'll multiply both the numerator and denominator of the fraction. The scaling factor is the desired denominator (50) divided by the current denominator (4). So, 50 / 4 = 12.5.
Apply the scaling factor
Now, we multiply both the numerator (3) and the denominator (4) of the original fraction by the scaling factor (12.5). This gives us (3 * 12.5) / (4 * 12.5) = 37.5/50.
Simplify the fraction
To simplify the fraction further, we can divide both the numerator and the denominator by their greatest common divisor, which is 12.5 in this case. Dividing 37.5 by 12.5 gives 3, and dividing 50 by 12.5 gives 4. Therefore, the simplified fraction is 30/50.
In conclusion, the equivalent fraction of 3/4 with a denominator of 50 is 30/50.
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