What is the total of the numbers 8 5/8", 6 1/4", 7 3/16", and 5 1/4"?

What is the total of the numbers 8 5/8", 6 1/4", 7 3/16", and 5 1/4"?

• A. 26 3/16"
• B. 27 5/16"
• C. 28 1/4"
• D. 25 5/16"

Answer: (B)

To find the total of the given measurements, first, convert each mixed number into improper fractions for easier addition. 1. Convert 8 5/8" to an improper fraction: - 8 × 8 + 5 = 64 + 5 = 69/8". 2. Convert 6 1/4" to an improper fraction: - 6 × 4 + 1 = 24 + 1 = 25/4". 3. Convert 7 3/16" to an improper fraction: - 7 × 16 + 3 = 112 + 3 = 115/16". 4. Convert 5 1/4" to an improper fraction: - 5 × 4 + 1 = 20 + 1 = 21/4". Next, to add these fractions together, find a common denominator. The denominators are 8, 4, 16, and 4. The least common multiple of these denominators is 16. Now, convert each fraction to have a denominator of 16: - 69/8 = (69 × 2)/(8 × 2) = 138/16.

To find the total of the given measurements, first, convert each mixed number into improper fractions for easier addition.

1. Convert 8 5/8" to an improper fraction:

• 8 × 8 + 5 = 64 + 5 = 69/8".

2. Convert 6 1/4" to an improper fraction:

• 6 × 4 + 1 = 24 + 1 = 25/4".

3. Convert 7 3/16" to an improper fraction:

• 7 × 16 + 3 = 112 + 3 = 115/16".

4. Convert 5 1/4" to an improper fraction:

• 5 × 4 + 1 = 20 + 1 = 21/4".

Next, to add these fractions together, find a common denominator. The denominators are 8, 4, 16, and 4. The least common multiple of these denominators is 16.

Now, convert each fraction to have a denominator of 16:

• 69/8 = (69 × 2)/(8 × 2) = 138/16.