Answer:
13) D. 18
14A) 112¾ inches
14B) 5⁵/₉
Step-by-step explanation:
13. Find the greatest common factor. First, write the prime factorization of each number.
18 = 2 × 3²
36 = 2² × 3²
54 = 2 × 3³
Use the smallest exponent of each factor to find the GCF.
GCF = 2 × 3²
GCF = 18
You can make up to 18 identical baskets.
14. The walkway is 9 bricks wide and 25 bricks long.
The width in inches is:
9 × 2¾
= 9 × 11/4
= 99/4
= 24¾
The length in inches is:
25 × 5½
= 25 × 11/2
= 275/2
= 137½
Part A. The difference is:
137½ − 24¾
= 275/2 − 99/4
= 550/4 − 99/4
= 451/4
= 112¾ inches
Part B. The ratio is:
137½ / 24¾
= (275/2) / (99/4)
= (275/2) × (4/99)
= 50/9
= 5⁵/₉
