Question

1. select the correct answer.

what is the fractional notation for the ratio problem below? simplify the fractional notation if
possible.
mikayla drew 20 triangles and 25 circles on a piece of paper. what is the ratio of circles to the
total number of shapes?
25:45
25 to 45
25÷5/45÷5=5/9

Explanation:

Step1: Find the ratio in fractional notation

The ratio of circles to the total number of shapes is \(\frac{\text{number of circles}}{\text{total number of shapes}}\). The number of circles is \(25\), and the total number of shapes is \(20 + 25=45\). So the ratio is \(\frac{25}{45}\).

Step2: Simplify the fraction

To simplify \(\frac{25}{45}\), find the greatest common divisor (GCD) of \(25\) and \(45\). The factors of \(25\) are \(1,5,25\), and the factors of \(45\) are \(1,3,5,9,15,45\). The GCD of \(25\) and \(45\) is \(5\). Divide both the numerator and the denominator by \(5\): \(\frac{25\div5}{45\div5}=\frac{5}{9}\).

Answer:

\(\frac{25}{45}\) simplifies to \(\frac{5}{9}\), so the correct option is \(\frac{25\div5}{45\div5}=\frac{5}{9}\) (the first option in the given choices).