What is 7 3/8 divided by 7 1/4?

To divide the mixed numbers 7 3/8 and 7 1/4, it's helpful first to convert each mixed number into an improper fraction.

Starting with 7 3/8:

1. Convert the whole number 7 into eighths: 7 = 56/8

2. Add the fractional part: 56/8 + 3/8 = 59/8

Now, for 7 1/4:

1. Convert the whole number 7 into quarters: 7 = 28/4
2. Add the fractional part: 28/4 + 1/4 = 29/4

Now we need to divide these two improper fractions: (59/8) ÷ (29/4)

To divide by a fraction, we multiply by its reciprocal: (59/8) * (4/29)

Now, multiply the numerators and the denominators: = (59 * 4) / (8 * 29)

Calculating gives: = 236 / 232

This fraction can be simplified. Both numbers can be divided by 4: 236 ÷ 4 = 59 232 ÷ 4 = 58

Thus,