Write each of the following ratios in simplest form.
The ratio 5 3/5 to 2 1/10
Convert to improper fractions (21/10) in tenths, then use the numerators for your ratio, then reduce.
I hope this helps. Thanks for asking.
To write the ratio in simplest form, we need to simplify both the numerator and the denominator separately and then combine them.
Let's start with the numerator: 5 3/5
To simplify the mixed number, we need to convert it to an improper fraction.
To do that, we multiply the whole number (5) by the denominator (5) and add the numerator (3). This gives us: 5 * 5 + 3 = 28.
Now the numerator of the ratio is 28.
Next, let's simplify the denominator: 2 1/10
Using the same process as before, we convert the mixed number to an improper fraction.
2 * 10 + 1 = 21.
Now the denominator of the ratio is 21.
So the ratio is 28:21.
To simplify this further, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 28 and 21 is 7.
Dividing both numbers by 7, we get 28 ÷ 7 = 4 and 21 ÷ 7 = 3.
So the simplified ratio is 4:3.
Therefore, the ratio 5 3/5 to 2 1/10 in simplest form is 4:3.