In a box of pencils, there are 6 regular pencils and 3 mechanical pencils. Write the ratio of mechanical pencils to regular

pencils and describe the ratio. Express the ratio 3 to 6 in simplest form.

3 to 6

1 to 3

1 to 2

2 to 1

1 answer

To write the ratio of mechanical pencils to regular pencils, we first identify the quantities:

  • Mechanical pencils: 3
  • Regular pencils: 6

The ratio is given by:

\[ \text{Ratio of mechanical pencils to regular pencils} = \frac{\text{Mechanical pencils}}{\text{Regular pencils}} = \frac{3}{6} \]

To express this ratio in simplest form, we can divide both the numerator and the denominator by their greatest common divisor, which is 3:

\[ \frac{3 \div 3}{6 \div 3} = \frac{1}{2} \]

Thus, the ratio of mechanical pencils to regular pencils in simplest form is 1 to 2.

Answer:

The ratio of mechanical pencils to regular pencils is 1 to 2.