Problem

Write the ratio as a ratio of whole numbers using fractional notation. \[ 30 \text { to } 45 \] The ratio of 30 to 45 is $\square$. (Type the ratio as a simplified fraction.)

Solution

Step 1 :Given the ratio 30 to 45, we need to write this ratio as a ratio of whole numbers using fractional notation.

Step 2 :To simplify the fraction, we can use the greatest common divisor (gcd). This is the largest number that can divide both 30 and 45 without leaving a remainder.

Step 3 :Calculate the gcd of 30 and 45, which is 15.

Step 4 :Divide both numbers by the gcd to get the simplified fraction. So, \( \frac{30}{15} = 2.0 \) and \( \frac{45}{15} = 3.0 \).

Step 5 :The simplified fraction is therefore \( \frac{2.0}{3.0} \) or \( \frac{2}{3} \).

Step 6 :Final Answer: The ratio of 30 to 45 in simplified fractional notation is \( \boxed{\frac{2}{3}} \).

From Solvely APP
Source: https://solvelyapp.com/problems/lwXFNS5HoB/

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