Kadeem is making two drawings of an oak leaf. The dimensions of the first drawing will be 1/3 the dimensions of the leaf. The dimensions of the second drawing will be 2 1/2 the dimensions of the leaf. If the oak leaf is 5 1/2 inches, will the length of each drawing be equal to, greater then, or less than 5 1/2 inches?

See explanation

Step-by-step explanation:

The dimensions of the first drawing will be 1/3 the dimensions of the leaf and the dimension of the oak leaf is 5 1/2 inches. Therefore, the dimensions of the 1st leaf:

= 1/3 × 5 1/2

= 1/3 × 11/2

= 11/6

= 1 5/6 inches

This is less than 5 1/2 inches

The dimensions of the second drawing will be 2 1/2 the dimensions of the leaf. This will be:

= 2 1/2 × 5 1/2

= 5/2 × 11/2

= 55/4

= 13 3/4 inches

Thus is greater than 5 1/2 inches

60: 45 =12: 9 =4: 3 so the answer is 4: 3