Question

Choose the fraction that goes in the blank.

⅞ > _____ > ⅗
o ¼
o ⅜
o ½
o ¾

Answer 1

The correct fraction that fits between 7/8 and 3/5 is 3/4.

Step-by-step explanation:

The student is asking which fraction fits between ⅗ and ⅓. To solve this, we can compare the options presented: ¼ (0.25), ⅜ (0.375), ½ (0.5), and ¾ (0.75). When we order these fractions from least to greatest, we get ¼, ⅜, ½, and ¾. We know that ⅗ is equivalent to 0.875, which is larger than all of the options provided. The fraction ⅓ is equivalent to 0.6, which is larger than ½ (0.5) but smaller than ¾ (0.75). Therefore, the correct fraction that fits between ⅗ and ⅓ is ¾.

Answer 2

The fraction that correctly fits in the blank is 3/4.

Step-by-step explanation:

To determine the fraction that goes in the blank, it's essential to compare the given fractions 7/8 and 3/5. The common denominator for these fractions is 40. Now, convert both fractions to have the common denominator:

7/8 × 5/5 = 35/40

3/5 × 8/8 = 24/40

Now, the comparison becomes 35/40 > blank > 24/40. To find the missing fraction, consider the choices 1/4, 3/8, 1/2, and 3/4. Among these, 3/4 fits in the blank as it is greater than 24/40 but less than 35/40. Therefore, 3/4 is the correct choice.

In summary, when comparing 7/8, 3/4, and 3/5, 3/4 is the fraction that correctly fits in the blank to satisfy the inequality 7/8 > blank > 3/5.