Question

• A. $$\frac{127}{216}$$
• B. $$\frac{127}{219}$$
• C. $$\frac{127}{214}$$
• D. $$\frac{127}{213}$$

Answer 1

Answer:

$$\frac{127}{216}$$

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

1. 3/8: 3 ÷ 8 = 0.375

2. 5/9: 5 ÷ 9 = 0.555... (approximately 0.56)

3. 26/27: 26 ÷ 27 = 0.962962... (approximately 0.96)

4. 15/32: 15 ÷ 32 = 0.46875

Identify the smallest and largest fractions:

• Smallest: 3/8 (0.375)

• Largest: 26/27 (approximately 0.96)

Calculate the difference:

• 26/27 - 3/8

To subtract the fractions, we need a common denominator. The least common multiple of 27 and 8 is 216.

• (26/27) * (8/8) = 208/216

• (3/8) * (27/27) = 81/216

Now subtract:

• 208/216 - 81/216 = (208 - 81) / 216 = 127/216

Therefore, the difference between the smallest and largest fractions is 127/216.