how do you write 4/5, 5/12, 3/10 in its simpliest form?
Um, those fractions are in their simplest forms.
Mat, if you leave out the "um" comments, your responses would not sound so condescending.
To write fractions in their simplest form, you need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both numbers by the GCD. Here's how you can simplify the given fractions:
1. Fraction: 4/5
To simplify 4/5, we find the GCD of the numerator (4) and the denominator (5). 4 and 5 have no common factors other than 1, so the GCD is 1. Therefore, the simplified form of 4/5 is already in its simplest form.
2. Fraction: 5/12
To simplify 5/12, we find the GCD of the numerator (5) and the denominator (12). The factors of 5 are only {1, 5}, and the factors of 12 are {1, 2, 3, 4, 6, 12}. The largest factor these two numbers share is 1, so the GCD is 1. Thus, the simplified form of 5/12 is already in its simplest form.
3. Fraction: 3/10
To simplify 3/10, we find the GCD of the numerator (3) and the denominator (10). The factors of 3 are {1, 3}, and the factors of 10 are {1, 2, 5, 10}. The largest factor these two numbers share is 1, so the GCD is 1. Therefore, 3/10 is already in its simplest form.
So, the simplest forms of the given fractions are:
1. 4/5 (already in simplest form)
2. 5/12 (already in simplest form)
3. 3/10 (already in simplest form)