Question

• A. $\frac{15}{24}$
• B. $\frac{15}{25}$
• C. $\frac{15}{26}$
• D. $\frac{15}{29}$

Answer 1

Answer:

C. $\frac{15}{26}$

Let's find the decimal values of each fraction to compare them:

1. 5/9: 5 ÷ 9 = 0.555... (approximately 0.56)

2. 7/7: 7 ÷ 7 = 1

3. 11/26: 11 ÷ 26 = 0.423076... (approximately 0.42)

4. 14/16: 14 ÷ 16 = 0.875

Identify the smallest and largest fractions:

• Smallest: 11/26 (approximately 0.42)

• Largest: 7/7 (1)

Calculate the difference:

• 7/7 - 11/26

To subtract the fractions, we need a common denominator. The least common multiple of 7 and 26 is 182.

• (7/7) * (26/26) = 182/182

• (11/26) * (7/7) = 77/182

Now subtract:

• 182/182 - 77/182 = (182 - 77) / 182 = 105/182

Simplify the fraction:

• Both 105 and 182 are divisible by 7.

• 105 ÷ 7 = 15

• 182 ÷ 7 = 26

• So, 105/182 = 15/26

Therefore, the difference between the smallest and largest fractions is 15/26.